Pub Date : 2021-04-03DOI: 10.1080/16168658.2021.1921377
A. Rezaee
In this paper, a novel adaptive median filter, called the partition fuzzy is proposed. The proposed filter achieves its effect through a summation of the weighted output of the median filter and the related weighted input signal. The weights are set in accordance with the fuzzy rules. In order to design this weight function, a method to partition of observation vector space and a learning approach are proposed so that the mean square error of the filter output can be minimum. Based on constrained least mean square algorithm, an iterative learning procedure is derived and its convergence property is investigated. As details, extensive experimental results demonstrate that the proposed filter outperforms the other median-based filters in literature.
{"title":"Partition Fuzzy Median Filter for Image Restoration","authors":"A. Rezaee","doi":"10.1080/16168658.2021.1921377","DOIUrl":"https://doi.org/10.1080/16168658.2021.1921377","url":null,"abstract":"In this paper, a novel adaptive median filter, called the partition fuzzy is proposed. The proposed filter achieves its effect through a summation of the weighted output of the median filter and the related weighted input signal. The weights are set in accordance with the fuzzy rules. In order to design this weight function, a method to partition of observation vector space and a learning approach are proposed so that the mean square error of the filter output can be minimum. Based on constrained least mean square algorithm, an iterative learning procedure is derived and its convergence property is investigated. As details, extensive experimental results demonstrate that the proposed filter outperforms the other median-based filters in literature.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"4 1","pages":"199 - 210"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78623684","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 : 2021-04-03DOI: 10.1080/16168658.2021.1915553
S. Das, Seyyed Ahmad Edalatpanah, T. Mandal
Purpose: We formulate a linear fractional programming (LFP) problem in which costs of the objective functions and constraints all are taken to be triangular fuzzy numbers. Methodology: The fuzzy LFP problem is transformed into an equivalent crisp line fractional programming (CLFP) problem by using the centroid ranking function. This proposed method is based on crisp LFP and has a simple structure. Findings: To show the efficiency of our proposed method a real life problem has been illustrated. The discussion of the practical problem will help decision makers to realise the usefulness of the CLFP problem. Value: Using centroid ranking function, we overcome the all limitations of our day to day real life problem. Finally, a result analysis is also established for applicability of our method.
{"title":"Development of Unrestricted Fuzzy Linear Fractional Programming Problems Applied in Real Case","authors":"S. Das, Seyyed Ahmad Edalatpanah, T. Mandal","doi":"10.1080/16168658.2021.1915553","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915553","url":null,"abstract":"Purpose: We formulate a linear fractional programming (LFP) problem in which costs of the objective functions and constraints all are taken to be triangular fuzzy numbers. Methodology: The fuzzy LFP problem is transformed into an equivalent crisp line fractional programming (CLFP) problem by using the centroid ranking function. This proposed method is based on crisp LFP and has a simple structure. Findings: To show the efficiency of our proposed method a real life problem has been illustrated. The discussion of the practical problem will help decision makers to realise the usefulness of the CLFP problem. Value: Using centroid ranking function, we overcome the all limitations of our day to day real life problem. Finally, a result analysis is also established for applicability of our method.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"56 1","pages":"184 - 195"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78647605","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 : 2021-04-03DOI: 10.1080/16168658.2021.1950390
R. Sharma, M. Dadhwal, Richa Sharma, S. Kar
Observing that every k-irreducible ideal of a semiring R is a k-primary ideal, if R is an additively cancellative, yoked and commutative Noetherian semiring, we establish the primary decomposition and uniqueness of the primary decomposition of k-ideals of such semirings. Finally, the primary decomposition and uniqueness of primary decomposition proved for k-ideals is also generalised for fuzzy k-ideals of these semirings.
{"title":"On the Primary Decomposition of k-Ideals and Fuzzy k-Ideals in Semirings","authors":"R. Sharma, M. Dadhwal, Richa Sharma, S. Kar","doi":"10.1080/16168658.2021.1950390","DOIUrl":"https://doi.org/10.1080/16168658.2021.1950390","url":null,"abstract":"Observing that every k-irreducible ideal of a semiring R is a k-primary ideal, if R is an additively cancellative, yoked and commutative Noetherian semiring, we establish the primary decomposition and uniqueness of the primary decomposition of k-ideals of such semirings. Finally, the primary decomposition and uniqueness of primary decomposition proved for k-ideals is also generalised for fuzzy k-ideals of these semirings.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"87 1","pages":"223 - 235"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82385631","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 : 2021-04-03DOI: 10.1080/16168658.2021.1906154
S. H. Nasseri, J. Verdegay, F. Mahmoudi
Recently fuzzy interval flexible linear programs have attracted many interests. These models are an extension of the classical linear programming which deal with crisp parameters. However, in most of the real-world applications, the nature of the parameters of the decision-making problems is generally imprecise. Such uncertainties can lead to increased complexities in the related optimisation efforts. Simply ignoring these uncertainties is considered undesired as it may result in inferior or wrong decisions. Therefore, inexact linear programming methods are desired under uncertainty. In this paper, we concentrate a fuzzy flexible linear programming model with flexible constraints and the interval objective function and then propose a new solving approach based on solving an associated multi-objective model. Finally, numerical example is included to illustrate the mentioned solving process.
{"title":"A New Method to Solve Fuzzy Interval Flexible Linear Programming Using a Multi-Objective Approach","authors":"S. H. Nasseri, J. Verdegay, F. Mahmoudi","doi":"10.1080/16168658.2021.1906154","DOIUrl":"https://doi.org/10.1080/16168658.2021.1906154","url":null,"abstract":"Recently fuzzy interval flexible linear programs have attracted many interests. These models are an extension of the classical linear programming which deal with crisp parameters. However, in most of the real-world applications, the nature of the parameters of the decision-making problems is generally imprecise. Such uncertainties can lead to increased complexities in the related optimisation efforts. Simply ignoring these uncertainties is considered undesired as it may result in inferior or wrong decisions. Therefore, inexact linear programming methods are desired under uncertainty. In this paper, we concentrate a fuzzy flexible linear programming model with flexible constraints and the interval objective function and then propose a new solving approach based on solving an associated multi-objective model. Finally, numerical example is included to illustrate the mentioned solving process.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"58 1","pages":"248 - 265"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84457758","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 : 2021-04-03DOI: 10.1080/16168658.2021.1943876
Cong-hua Yan
In this paper, the completion of fuzzy normed linear space (in the sense of Bag and Samanta) is studied. First, some properties of convergence fuzzy point sequences are discussed. Specially, we give another characterisation of Q-neighbourhood base of for I-topology introduced by Saheli. Then we show that each fuzzy normed linear space has an (up to isomorphism) unique complete fuzzy normed linear space which contains an uniformly dense in every stratum subspace isomorphic to it.
{"title":"On the Completion of Fuzzy Normed Linear Spaces in the Sense of Bag and Samanta","authors":"Cong-hua Yan","doi":"10.1080/16168658.2021.1943876","DOIUrl":"https://doi.org/10.1080/16168658.2021.1943876","url":null,"abstract":"In this paper, the completion of fuzzy normed linear space (in the sense of Bag and Samanta) is studied. First, some properties of convergence fuzzy point sequences are discussed. Specially, we give another characterisation of Q-neighbourhood base of for I-topology introduced by Saheli. Then we show that each fuzzy normed linear space has an (up to isomorphism) unique complete fuzzy normed linear space which contains an uniformly dense in every stratum subspace isomorphic to it.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"1 1","pages":"236 - 247"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75302038","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 : 2021-04-03DOI: 10.1080/16168658.2021.1923621
R. Uma, S. Sriram, P. Murugadas
In this paper, two types of fuzzy neutrosophic soft matrix have been introduced and it is shown that the set of all fuzzy neutrosophic soft matrices form a semiring. Further it is explored that the set of all fuzzy neutrosophic soft matrices of both types form a vector space.
{"title":"Fuzzy Neutrosophic Soft Matrices of Type I and Type II","authors":"R. Uma, S. Sriram, P. Murugadas","doi":"10.1080/16168658.2021.1923621","DOIUrl":"https://doi.org/10.1080/16168658.2021.1923621","url":null,"abstract":"In this paper, two types of fuzzy neutrosophic soft matrix have been introduced and it is shown that the set of all fuzzy neutrosophic soft matrices form a semiring. Further it is explored that the set of all fuzzy neutrosophic soft matrices of both types form a vector space.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"29 1","pages":"211 - 222"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86752730","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 : 2021-04-03DOI: 10.1080/16168658.2021.1921376
S. P. Tiwari, A. P. Singh, Saumya Pandey
In this note, we show that, in the paper [Zhong Y, Yan CH. Intuitionistic L-fuzzy rough sets, intuitionistic L-fuzzy preorders and intuitionistic L-fuzzy topologies. Fuzzy Inf Eng. 2016;8:255–279.], the conclusion regarding Proposition 3.3 of [Tiwari SP, Srivastava AK. Fuzzy rough sets, fuzzy preorders and fuzzy topologies. Fuzzy Sets Syst. 2013;210:63–68.] is not correct.
{"title":"Note on ‘Intuitionistic L-fuzzy Rough Sets, Intuitionistic L-fuzzy Preorders and Intuitionistic L-fuzzy Topologies’","authors":"S. P. Tiwari, A. P. Singh, Saumya Pandey","doi":"10.1080/16168658.2021.1921376","DOIUrl":"https://doi.org/10.1080/16168658.2021.1921376","url":null,"abstract":"In this note, we show that, in the paper [Zhong Y, Yan CH. Intuitionistic L-fuzzy rough sets, intuitionistic L-fuzzy preorders and intuitionistic L-fuzzy topologies. Fuzzy Inf Eng. 2016;8:255–279.], the conclusion regarding Proposition 3.3 of [Tiwari SP, Srivastava AK. Fuzzy rough sets, fuzzy preorders and fuzzy topologies. Fuzzy Sets Syst. 2013;210:63–68.] is not correct.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"3 1","pages":"196 - 198"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84178779","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 : 2021-04-03DOI: 10.1080/16168658.2021.1915455
A. Cruz, André V. dos Santos, R. Santiago, B. Bedregal
The BDI logic is an important and widely used theoretical apparatus to represent and reason about rational agents. However, the BDI logics are incomplete regarding the intention reconsideration, override of intention, the deliberation process, and belief revision. These are essential processes of the BDI model. Also, some rational agents, especially human being, have not the approximate reasoning well represented by the BDI logics. So, in this paper, we define fuzzy semantics for a BDI language that is capable to eliminate those limitations. Additionally, we show how this paper is related to current works about BDI agents and discuss how those limitations can be fixed through the extension of the BDI logic to a fuzzy BDI logic.
{"title":"A Fuzzy Semantic for BDI Logic","authors":"A. Cruz, André V. dos Santos, R. Santiago, B. Bedregal","doi":"10.1080/16168658.2021.1915455","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915455","url":null,"abstract":"The BDI logic is an important and widely used theoretical apparatus to represent and reason about rational agents. However, the BDI logics are incomplete regarding the intention reconsideration, override of intention, the deliberation process, and belief revision. These are essential processes of the BDI model. Also, some rational agents, especially human being, have not the approximate reasoning well represented by the BDI logics. So, in this paper, we define fuzzy semantics for a BDI language that is capable to eliminate those limitations. Additionally, we show how this paper is related to current works about BDI agents and discuss how those limitations can be fixed through the extension of the BDI logic to a fuzzy BDI logic.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"5 1","pages":"139 - 153"},"PeriodicalIF":1.2,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89246169","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 : 2021-01-02DOI: 10.1080/16168658.2021.1932151
Hongling Luo, Li Yu
In this paper, we study the stability for discrete-time Takagi and Sugeno (T-S) fuzzy systems with perturbation disturbance and time delay. Stochastic delay-dependent stability criteria are derived for stochastic T-S fuzzy systems with time-invariant and time-varying delays, respectively. For the time-varying delay case, a novel fuzzy Lyapunov–Krasovskii functional (LKF) without requiring all the involved symmetric matrices to be positive definite is constructed to reduce the conservatism. These stability conditions are then represented in terms of finite linear matrix inequalities (LMIs), which can be solved efficiently by using standard LMIS optimisation techniques. Two numerical examples are given to illustrate the feasibility of the proposed method.
{"title":"Stability Analysis for the Discrete-Time T-S Fuzzy System with Stochastic Disturbance and State Delay","authors":"Hongling Luo, Li Yu","doi":"10.1080/16168658.2021.1932151","DOIUrl":"https://doi.org/10.1080/16168658.2021.1932151","url":null,"abstract":"In this paper, we study the stability for discrete-time Takagi and Sugeno (T-S) fuzzy systems with perturbation disturbance and time delay. Stochastic delay-dependent stability criteria are derived for stochastic T-S fuzzy systems with time-invariant and time-varying delays, respectively. For the time-varying delay case, a novel fuzzy Lyapunov–Krasovskii functional (LKF) without requiring all the involved symmetric matrices to be positive definite is constructed to reduce the conservatism. These stability conditions are then represented in terms of finite linear matrix inequalities (LMIs), which can be solved efficiently by using standard LMIS optimisation techniques. Two numerical examples are given to illustrate the feasibility of the proposed method.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"62 1","pages":"17 - 39"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73833562","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 : 2021-01-02DOI: 10.1080/16168658.2021.1915449
F. Abbasi, T. Allahviranloo
In most natural science fields, triangular and trapezoidal fuzzy numbers are commonly used while in engineering and social science fields such as sociology and psychology while treating the uncertainties these numbers are not applicable and fuzzy numbers with more parameters and clear definitions of their arithmetic operations are needed. In order to fill this gap in the literature, we propose the new fuzzy arithmetic operations based on transmission average on pseudo-hexagonal fuzzy numbers, which was already implied in [1] in its rudimentary form and was finally presented in its fully fledged form in [2]. Several illustrative examples were given to show the accomplishment and ability of the proposed method. We present a new method for fuzzy system reliability analysis based on the fuzzy arithmetic operations of transmission average, where the reliabilities of the components of a system are represented by pseudo- hexagonal fuzzy numbers defined in the universe of discourse [0, 1]. The proposed method has the advantages of modeling and analyzing fuzzy system reliability in a more flexible and more intelligent manner. Finally, a marine power plant is considered in fuzzy environment. The reliability of components of the proposed model is considered as pseudo-hexagonal fuzzy numbers.
{"title":"The Fuzzy Arithmetic Operations of Transmission Average on Pseudo-Hexagonal Fuzzy Numbers and Its Application in Fuzzy System Reliability Analysis","authors":"F. Abbasi, T. Allahviranloo","doi":"10.1080/16168658.2021.1915449","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915449","url":null,"abstract":"In most natural science fields, triangular and trapezoidal fuzzy numbers are commonly used while in engineering and social science fields such as sociology and psychology while treating the uncertainties these numbers are not applicable and fuzzy numbers with more parameters and clear definitions of their arithmetic operations are needed. In order to fill this gap in the literature, we propose the new fuzzy arithmetic operations based on transmission average on pseudo-hexagonal fuzzy numbers, which was already implied in [1] in its rudimentary form and was finally presented in its fully fledged form in [2]. Several illustrative examples were given to show the accomplishment and ability of the proposed method. We present a new method for fuzzy system reliability analysis based on the fuzzy arithmetic operations of transmission average, where the reliabilities of the components of a system are represented by pseudo- hexagonal fuzzy numbers defined in the universe of discourse [0, 1]. The proposed method has the advantages of modeling and analyzing fuzzy system reliability in a more flexible and more intelligent manner. Finally, a marine power plant is considered in fuzzy environment. The reliability of components of the proposed model is considered as pseudo-hexagonal fuzzy numbers.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"213 1","pages":"58 - 78"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77665404","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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