Pub Date : 2022-10-02DOI: 10.1080/16168658.2022.2161442
A. Elsayed, N. Ahmad, G. Malkawi
A couple of Sylvester matrix equations (CSME) are required to be solved simultaneously in many applications, especially in analysing the stability of control systems. However, there are some situations in which the crisp CSME are not well equipped to deal with the uncertainty problem during the stability analysis of control systems. Thus, this paper proposes a new method for solving Arbitrary Coupled Trapezoidal Fully Fuzzy Sylvester Matrix Equation (ACTrFFSME). New arithmetic fuzzy multiplication operations are developed and applied to convert the ACTrFFSME to a reduced system of non-linear equations. Then it is converted to a system of absolute equations where the arbitrary fuzzy solution is obtained by solving that system. The proposed method can solve many arbitrary fuzzy equations, such as fully fuzzy matrix equations, Sylvester and Lyapunov fully fuzzy matrix equations with triangular and trapezoidal fuzzy numbers without any restrictions. We illustrate the proposed method by solving two numerical examples.
{"title":"Solving Arbitrary Coupled Trapezoidal Fully Fuzzy Sylvester Matrix Equation with Necessary Arithmetic Multiplication Operations","authors":"A. Elsayed, N. Ahmad, G. Malkawi","doi":"10.1080/16168658.2022.2161442","DOIUrl":"https://doi.org/10.1080/16168658.2022.2161442","url":null,"abstract":"A couple of Sylvester matrix equations (CSME) are required to be solved simultaneously in many applications, especially in analysing the stability of control systems. However, there are some situations in which the crisp CSME are not well equipped to deal with the uncertainty problem during the stability analysis of control systems. Thus, this paper proposes a new method for solving Arbitrary Coupled Trapezoidal Fully Fuzzy Sylvester Matrix Equation (ACTrFFSME). New arithmetic fuzzy multiplication operations are developed and applied to convert the ACTrFFSME to a reduced system of non-linear equations. Then it is converted to a system of absolute equations where the arbitrary fuzzy solution is obtained by solving that system. The proposed method can solve many arbitrary fuzzy equations, such as fully fuzzy matrix equations, Sylvester and Lyapunov fully fuzzy matrix equations with triangular and trapezoidal fuzzy numbers without any restrictions. We illustrate the proposed method by solving two numerical examples.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"31 1","pages":"425 - 455"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87900212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Purpose Designing an Organizational Innovation Model with an Emphasis on the Approach of Lean Human Resources Management: The Case of Selected Municipalities of Mazandaran province. Methodology From a methodology point of view, this is a qualitative study, which is grounded theory and classified data were collected through interviewing the experts who agreed to participate in this research and were familiar with the topic including faculties in organizational innovation field and chief officers of selected municipalities of Mazandaran province. Findings The results showed that the organizational innovation model with an emphasis on lean human resources management approach has 156 indicators and 8 subcategories along with the lean innovation capabilities category, these subcategories are: lean human resources recruitment, supply and adjustment system, Lean human resource improvement system, lean human resource maintenance system, lean human resource application system, utilization of technology, organizational culture, organizational structure and policies and programs. In the following, all the dimensions, components and indicators of the three main dimensions are described; The enablers of lean innovation, the facilitators of lean innovation and the capabilities of lean innovation were summarized and purified. Research limitations/implications In the practical context, the results of the study can provide clear messages for the senior and middle managers of such organizations, so that based on those findings, they can formulate detailed operational plans with the aim of increasing internal innovations and also empowering their human resources.
{"title":"Designing an Organizational Innovation Model with an Emphasis on the Approach of Lean Human Resource Management: The Case of Selected Municipalities of Mazandaran Province","authors":"Ebrahim Ghasemzadeh, M. Bagherzadeh, Seyed Ebrahim Jafari Kelarijani, Ezzatollah Baloui jamkhaneh","doi":"10.1080/16168658.2022.2154103","DOIUrl":"https://doi.org/10.1080/16168658.2022.2154103","url":null,"abstract":"Purpose Designing an Organizational Innovation Model with an Emphasis on the Approach of Lean Human Resources Management: The Case of Selected Municipalities of Mazandaran province. Methodology From a methodology point of view, this is a qualitative study, which is grounded theory and classified data were collected through interviewing the experts who agreed to participate in this research and were familiar with the topic including faculties in organizational innovation field and chief officers of selected municipalities of Mazandaran province. Findings The results showed that the organizational innovation model with an emphasis on lean human resources management approach has 156 indicators and 8 subcategories along with the lean innovation capabilities category, these subcategories are: lean human resources recruitment, supply and adjustment system, Lean human resource improvement system, lean human resource maintenance system, lean human resource application system, utilization of technology, organizational culture, organizational structure and policies and programs. In the following, all the dimensions, components and indicators of the three main dimensions are described; The enablers of lean innovation, the facilitators of lean innovation and the capabilities of lean innovation were summarized and purified. Research limitations/implications In the practical context, the results of the study can provide clear messages for the senior and middle managers of such organizations, so that based on those findings, they can formulate detailed operational plans with the aim of increasing internal innovations and also empowering their human resources.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"12 1","pages":"468 - 487"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83533520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-02DOI: 10.1080/16168658.2022.2152883
E. Mohammadzadeh, R. Borzooei, F. Mohammadzadeh, S. Ahn
In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation ( ). Moreover, we proved that for a fuzzy hyperring S, the quotient ( ) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an ζ-role of a fuzzy hyperring and investigated its essential properties. Basically, we stated a necessary and sufficient condition for transitivity of ζ. Also, we studied the relationship between the strongly regular relation and ζ-role of a given fuzzy hyperring.
{"title":"Characterization of Derived Nilpotent (Engel) Lie Ring of Fuzzy Hyperrings by Using Fuzzy Strongly Regular Relations","authors":"E. Mohammadzadeh, R. Borzooei, F. Mohammadzadeh, S. Ahn","doi":"10.1080/16168658.2022.2152883","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152883","url":null,"abstract":"In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation ( ). Moreover, we proved that for a fuzzy hyperring S, the quotient ( ) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an ζ-role of a fuzzy hyperring and investigated its essential properties. Basically, we stated a necessary and sufficient condition for transitivity of ζ. Also, we studied the relationship between the strongly regular relation and ζ-role of a given fuzzy hyperring.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"12 1","pages":"407 - 424"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77732025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-02DOI: 10.1080/16168658.2022.2152836
M. Niksirat
The transportation problem is the problem of transferring goods from several sources or producers to multiple destinations or consumers in a cost-effective way, which is one of the most important problems in the supply chain management problems. The application of this problem in addition to the distribution of goods in the location and production planning problems is also important. Many real-life transportation problems encounter multiple, conflicting, and incommensurable objective functions. In addition, in real applications, due to lack of information, it is not possible to accurately estimate the parameters of this problem. Therefore, the main goal of this paper is to find the Pareto optimal solutions of fully fuzzy multi-objective transportation problem under the conditions of uncertainty. In accordingly, a new approach based on nearest interval approximation is proposed to solve the problem. Numerical examples are provided to illustrate the proposed approach and results.
{"title":"A New Approach to Solve Fully Fuzzy Multi-Objective Transportation Problem","authors":"M. Niksirat","doi":"10.1080/16168658.2022.2152836","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152836","url":null,"abstract":"The transportation problem is the problem of transferring goods from several sources or producers to multiple destinations or consumers in a cost-effective way, which is one of the most important problems in the supply chain management problems. The application of this problem in addition to the distribution of goods in the location and production planning problems is also important. Many real-life transportation problems encounter multiple, conflicting, and incommensurable objective functions. In addition, in real applications, due to lack of information, it is not possible to accurately estimate the parameters of this problem. Therefore, the main goal of this paper is to find the Pareto optimal solutions of fully fuzzy multi-objective transportation problem under the conditions of uncertainty. In accordingly, a new approach based on nearest interval approximation is proposed to solve the problem. Numerical examples are provided to illustrate the proposed approach and results.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"24 1","pages":"456 - 467"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87541596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-02DOI: 10.1080/16168658.2022.2152823
I. Jahan, Ananya Manas
In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts. Also, the notion of conjugacy has been investigated in the context of normality of L-subgroups. Furthermore, some important relationships between conjugate L-subgroups and normalizer have also been established. Finally, the normalizer of an L-subgroup has been defined by using the notion of conjugate L-subgroups.
{"title":"Conjugate L-subgroups of An L-group and Their Applications to Normality and Normalizer","authors":"I. Jahan, Ananya Manas","doi":"10.1080/16168658.2022.2152823","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152823","url":null,"abstract":"In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts. Also, the notion of conjugacy has been investigated in the context of normality of L-subgroups. Furthermore, some important relationships between conjugate L-subgroups and normalizer have also been established. Finally, the normalizer of an L-subgroup has been defined by using the notion of conjugate L-subgroups.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"331 1","pages":"488 - 508"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80504189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-02DOI: 10.1080/16168658.2022.2152885
S. Hati, K. Maity
ABSTRACT In this paper, we present a general formulation for the production inventory optimal control problem to a class of fractional fuzzy differential systems with reliability-dependent imperfect production. we investigate this model under the uncertain environment of fuzzy numbers with the rate of change of stock level expressed by granular Caputo fractional fuzzy derivative of order . The demands depend on the selling price, product quality, and stock level of the product displayed in the store. The unit production cost depends on development cost due to reliability, raw material cost, and wear tear cost. Here state, co-state variables and parameters are taken as uncertain variables with triangular fuzzy numbers and using granular dierentiability the existence and uniqueness of solution to the fractional dierential system with fuzzy variables and parameters. The production inventory optimal control problem for the fractional system is proposed and a necessary condition for optimality is obtained. Finally, this optimal control problem was solved by using the Pontryagin Maximum principle and for numerical results and graphical representation.
{"title":"Reliability Dependent Imperfect Production Inventory Optimal Control Fractional Order Model for Uncertain Environment Under Granular Differentiability","authors":"S. Hati, K. Maity","doi":"10.1080/16168658.2022.2152885","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152885","url":null,"abstract":"ABSTRACT In this paper, we present a general formulation for the production inventory optimal control problem to a class of fractional fuzzy differential systems with reliability-dependent imperfect production. we investigate this model under the uncertain environment of fuzzy numbers with the rate of change of stock level expressed by granular Caputo fractional fuzzy derivative of order . The demands depend on the selling price, product quality, and stock level of the product displayed in the store. The unit production cost depends on development cost due to reliability, raw material cost, and wear tear cost. Here state, co-state variables and parameters are taken as uncertain variables with triangular fuzzy numbers and using granular dierentiability the existence and uniqueness of solution to the fractional dierential system with fuzzy variables and parameters. The production inventory optimal control problem for the fractional system is proposed and a necessary condition for optimality is obtained. Finally, this optimal control problem was solved by using the Pontryagin Maximum principle and for numerical results and graphical representation.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"294 1","pages":"379 - 406"},"PeriodicalIF":1.2,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79550518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-03DOI: 10.1080/16168658.2022.2141435
Anas Al-Masarwah, A. Ahmad
In this paper, as a further generalization of m-polar fuzziness subalgebras, we present the conception of an m-polar -fuzzy subalgebra in BCK/BCI-algebras and discuss some interesting properties of it. We define an m-polar -fuzzy subalgebras and explore some of its significant attributes. Certain features of m-polar -fuzzy subalgebras are established.
{"title":"A New Interpretation of Multi-Polarity Fuzziness Subalgebras of BCK/BCI-Algebras","authors":"Anas Al-Masarwah, A. Ahmad","doi":"10.1080/16168658.2022.2141435","DOIUrl":"https://doi.org/10.1080/16168658.2022.2141435","url":null,"abstract":"In this paper, as a further generalization of m-polar fuzziness subalgebras, we present the conception of an m-polar -fuzzy subalgebra in BCK/BCI-algebras and discuss some interesting properties of it. We define an m-polar -fuzzy subalgebras and explore some of its significant attributes. Certain features of m-polar -fuzzy subalgebras are established.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"38 1","pages":"243 - 254"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74860833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-03DOI: 10.1080/16168658.2022.2152950
Mehrnoosh Salari, R. Ghanbari, Khatere Ghorbani-Moghadam
Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving fuzzy LR linear systems (FLRLSs). Then we develop some necessary and sufficient conditions for the solvability of FLRLSs. We then provide a new general concept for an approximate solution when an FLRLS lacks a solution. To compute an approximate solution, we propose an algorithm using a least squares method. Finally, we show the appropriateness of our proposed approximate solution recently introduced numerically.
{"title":"New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models","authors":"Mehrnoosh Salari, R. Ghanbari, Khatere Ghorbani-Moghadam","doi":"10.1080/16168658.2022.2152950","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152950","url":null,"abstract":"Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving fuzzy LR linear systems (FLRLSs). Then we develop some necessary and sufficient conditions for the solvability of FLRLSs. We then provide a new general concept for an approximate solution when an FLRLS lacks a solution. To compute an approximate solution, we propose an algorithm using a least squares method. Finally, we show the appropriateness of our proposed approximate solution recently introduced numerically.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"41 1","pages":"335 - 348"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87391736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-03DOI: 10.1080/16168658.2022.2152921
R. A. Shureshjani, S. Askarinejad, A. Foroughi
Data envelopment analysis (DEA) is an optimization method to assess the efficiency of decision-making units with multiple-inputs/multiple-outputs assumption. Most real-life issues contain more than one stage unit which needs multiple-stage data envelopment analysis models to be solved. Moreover, the inputs and outputs of the units are rarely measured accurately in real-life problems, hence fuzzy data envelopment analysis approaches can be significantly helpful in calculating efficiency scores. In this study, an approach for evaluating the performance of decision-making units (DMUs) in fuzzy two-stage DEA models is developed. The developed model is a parametric program based on alpha-cuts. The dependence on alpha allows the manager to compare and rank DMUs based on his/her degree of certainty and after the selection of alpha, our proposed model becomes linear. Furthermore, a theorem is proposed and proved for conventional multiplicative two-stage DEA models with the assumption of Variable Returns to Scale. This theorem can be used to evaluate the correctness of the results. Finally, by two illustrative examples, the ability of the proposed approach to solve fuzzy two-stage DEA models is shown, and the obtained results are compared to that of some other methods in this field.
{"title":"Evaluating the Efficiency of Decision Making Units in Fuzzy two-stage DEA Models","authors":"R. A. Shureshjani, S. Askarinejad, A. Foroughi","doi":"10.1080/16168658.2022.2152921","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152921","url":null,"abstract":"Data envelopment analysis (DEA) is an optimization method to assess the efficiency of decision-making units with multiple-inputs/multiple-outputs assumption. Most real-life issues contain more than one stage unit which needs multiple-stage data envelopment analysis models to be solved. Moreover, the inputs and outputs of the units are rarely measured accurately in real-life problems, hence fuzzy data envelopment analysis approaches can be significantly helpful in calculating efficiency scores. In this study, an approach for evaluating the performance of decision-making units (DMUs) in fuzzy two-stage DEA models is developed. The developed model is a parametric program based on alpha-cuts. The dependence on alpha allows the manager to compare and rank DMUs based on his/her degree of certainty and after the selection of alpha, our proposed model becomes linear. Furthermore, a theorem is proposed and proved for conventional multiplicative two-stage DEA models with the assumption of Variable Returns to Scale. This theorem can be used to evaluate the correctness of the results. Finally, by two illustrative examples, the ability of the proposed approach to solve fuzzy two-stage DEA models is shown, and the obtained results are compared to that of some other methods in this field.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"7 1","pages":"291 - 313"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81593153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-03DOI: 10.1080/16168658.2022.2152906
A. Elsayed, N. Ahmad, G. Malkawi
Many problems in systems and control theory are related to solvability of Sylvester matrix equations. In many applications, at least some of the parameters of the system should be represented by fuzzy numbers rather than crisp ones. In most of the previous literature, the solutions of fuzzy Sylvester matrix equation are only presented with triangular fuzzy numbers. In this paper, we propose two analytical methods for solving Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation (PTrFFSME). The PTrFFSME is converted to an equivalent system of crisp Sylvester Matrix Equations (SME) using the existing arithmetic fuzzy multiplication operations. The necessary and sufficient conditions for the existence and uniqueness of the positive fuzzy solutions to the PTrFFSME are investigated. In addition, the equivalency between the solution to the system of SME and the PTrFFSME are discussed. The proposed methods are illustrated by solving one example.
{"title":"Solving Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation","authors":"A. Elsayed, N. Ahmad, G. Malkawi","doi":"10.1080/16168658.2022.2152906","DOIUrl":"https://doi.org/10.1080/16168658.2022.2152906","url":null,"abstract":"Many problems in systems and control theory are related to solvability of Sylvester matrix equations. In many applications, at least some of the parameters of the system should be represented by fuzzy numbers rather than crisp ones. In most of the previous literature, the solutions of fuzzy Sylvester matrix equation are only presented with triangular fuzzy numbers. In this paper, we propose two analytical methods for solving Positive Trapezoidal Fully Fuzzy Sylvester Matrix Equation (PTrFFSME). The PTrFFSME is converted to an equivalent system of crisp Sylvester Matrix Equations (SME) using the existing arithmetic fuzzy multiplication operations. The necessary and sufficient conditions for the existence and uniqueness of the positive fuzzy solutions to the PTrFFSME are investigated. In addition, the equivalency between the solution to the system of SME and the PTrFFSME are discussed. The proposed methods are illustrated by solving one example.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"60 1","pages":"314 - 334"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77886776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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