In the fuzzy literature, researchers have applied the concept of Vec-operator and Kronecker product for solving arbitrary Fuzzy Matrix Equations (FME). However, this approach is limited to positive or negative FMEs and cannot be applied to FMEs with near-zero fuzzy numbers. Therefore, this paper proposes a new analytical method for solving a family of arbitrary FMEs. The proposed method is able to solve Arbitrary Generalized Trapezoidal Fully Fuzzy Sylvester Matrix Equations (AGTrFFSME), in addition to many unrestricted FMEs such as Sylvester, Lyapunov and Stein fully fuzzy matrix equations with arbitrary triangular or trapezoidal fuzzy numbers. The proposed method thus fruitfully removes the sign restriction imposed by researchers and is, therefore, better to use in several engineering and scientific applications. The AGTrFFSME is converted to a system of non-linear equations, which is reduced using new multiplication operations between trapezoidal fuzzy numbers. The feasibility conditions are introduced to distinguish between fuzzy and non-fuzzy solutions to the AGTrFFSME.
{"title":"Arbitrary Generalized Trapezoidal Fully Fuzzy Sylvester Matrix Equation","authors":"","doi":"10.4018/ijfsa.303564","DOIUrl":"https://doi.org/10.4018/ijfsa.303564","url":null,"abstract":"In the fuzzy literature, researchers have applied the concept of Vec-operator and Kronecker product for solving arbitrary Fuzzy Matrix Equations (FME). However, this approach is limited to positive or negative FMEs and cannot be applied to FMEs with near-zero fuzzy numbers. Therefore, this paper proposes a new analytical method for solving a family of arbitrary FMEs. The proposed method is able to solve Arbitrary Generalized Trapezoidal Fully Fuzzy Sylvester Matrix Equations (AGTrFFSME), in addition to many unrestricted FMEs such as Sylvester, Lyapunov and Stein fully fuzzy matrix equations with arbitrary triangular or trapezoidal fuzzy numbers. The proposed method thus fruitfully removes the sign restriction imposed by researchers and is, therefore, better to use in several engineering and scientific applications. The AGTrFFSME is converted to a system of non-linear equations, which is reduced using new multiplication operations between trapezoidal fuzzy numbers. The feasibility conditions are introduced to distinguish between fuzzy and non-fuzzy solutions to the AGTrFFSME.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43313632","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}
Chemical, Biological, Radiological and Nuclear (CBRN) weapon systems hold the potential to cause great damage to a fighting unit. Chemical warfare agents are cheaper and easier to produce and deploy. Mission oriented protective posture (MOPP) equipment is used to isolate soldiers from the toxic environment . Sustained wearing of MOPP overgarments can put soldiers at the risk of dehydration and heat stress. A hierarchal adaptive neuro-fuzzy inference system (HANFIS) model is proposed to predict worst case MOPP open times for surfaces covered with chemical agent resistant coating (CARC) and sand. The model can provide decision support for commanders when determining MOPP open or unmasking time. From HANFIS simulation results it was concluded that the model can accurately predict MOPP open times according to data present in military field manuals, in a manner which is computationally efficient. and easy to interpret based on linguistic rules and most importantly, easy to customize.
{"title":"A Neuro-Fuzzy Approach to MOPP Open Time Prediction for Chemical Threats in Low-Intensity Conflicts","authors":"","doi":"10.4018/ijfsa.302124","DOIUrl":"https://doi.org/10.4018/ijfsa.302124","url":null,"abstract":"Chemical, Biological, Radiological and Nuclear (CBRN) weapon systems hold the potential to cause great damage to a fighting unit. Chemical warfare agents are cheaper and easier to produce and deploy. Mission oriented protective posture (MOPP) equipment is used to isolate soldiers from the toxic environment . Sustained wearing of MOPP overgarments can put soldiers at the risk of dehydration and heat stress. A hierarchal adaptive neuro-fuzzy inference system (HANFIS) model is proposed to predict worst case MOPP open times for surfaces covered with chemical agent resistant coating (CARC) and sand. The model can provide decision support for commanders when determining MOPP open or unmasking time. From HANFIS simulation results it was concluded that the model can accurately predict MOPP open times according to data present in military field manuals, in a manner which is computationally efficient. and easy to interpret based on linguistic rules and most importantly, easy to customize.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47655114","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}
In this paper, an alternative approach (named Mehar approach) is proposed for solving interval-valued triangular fuzzy shortest path problems. Also, it is shown that less computational efforts are required to apply the proposed Mehar approach as compared to Ebrahimnejad et al.'s method. Furthermore, to illustrate the proposed Mehar approach, the interval-valued triangular fuzzy shortest path problem, considered by Ebrahimnejad et al. to illustrate their proposed method, is solved by the proposed Mehar approach.
{"title":"Mehar Approach for Solving Shortest Path Problems With Interval-Valued Triangular Fuzzy Arc Weights","authors":"T. K. Bhatia, Amit Kumar, M. Sharma, S. Appadoo","doi":"10.4018/ijfsa.313428","DOIUrl":"https://doi.org/10.4018/ijfsa.313428","url":null,"abstract":"In this paper, an alternative approach (named Mehar approach) is proposed for solving interval-valued triangular fuzzy shortest path problems. Also, it is shown that less computational efforts are required to apply the proposed Mehar approach as compared to Ebrahimnejad et al.'s method. Furthermore, to illustrate the proposed Mehar approach, the interval-valued triangular fuzzy shortest path problem, considered by Ebrahimnejad et al. to illustrate their proposed method, is solved by the proposed Mehar approach.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47618396","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 : 2022-01-01DOI: 10.4018/ijfsa.2022010107
Fuzzy Based CPU scheduler becomes an emerging component of an operating system. It can handle the imprecise nature of parameters used in scheduler. This paper introduces an adaptive fuzzy based Highest Response Ratio Next CPU scheduler which is an extension of conventional CPU scheduler. Proposed scheduler works in 2 layers. At the first layer, a Fuzzy Inference System is defined which handles the uncertainties of parameters and at the second layer, an adaptive scheduling algorithm is used to schedule each task. Proposed scheduler intelligently generates the response ratio for each ready to run task which makes the system adaptive at run time. The work is compared with the conventional highest response ratio next scheduling and the existing fuzzy highest ratio next scheduling algorithms. Results validate the better performance of proposed scheduler. The proposed scheduler also provides comparable results with respect to shortest job first scheduling and shortest remaining task first scheduling algorithms.
{"title":"An Adaptive Fuzzy Based 2-Layered HRRN CPU Scheduler","authors":"","doi":"10.4018/ijfsa.2022010107","DOIUrl":"https://doi.org/10.4018/ijfsa.2022010107","url":null,"abstract":"Fuzzy Based CPU scheduler becomes an emerging component of an operating system. It can handle the imprecise nature of parameters used in scheduler. This paper introduces an adaptive fuzzy based Highest Response Ratio Next CPU scheduler which is an extension of conventional CPU scheduler. Proposed scheduler works in 2 layers. At the first layer, a Fuzzy Inference System is defined which handles the uncertainties of parameters and at the second layer, an adaptive scheduling algorithm is used to schedule each task. Proposed scheduler intelligently generates the response ratio for each ready to run task which makes the system adaptive at run time. The work is compared with the conventional highest response ratio next scheduling and the existing fuzzy highest ratio next scheduling algorithms. Results validate the better performance of proposed scheduler. The proposed scheduler also provides comparable results with respect to shortest job first scheduling and shortest remaining task first scheduling algorithms.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43760194","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}
The present paper investigates a mathematical programming problem with a fuzzy set of constraint indices. To formalize the set of feasible alternatives, the concept of intersection of crisp sets with a fuzzy set of operands is used. The result of this operation is a type-2 fuzzy set (T2FS) (a fuzzy set whose membership function takes a fuzzy set of values). Furthermore, the corresponding membership function is given. It is shown that the T2FS of feasible alternatives can be represented in the form of the collection of T2FSs with constant secondary grades. The notion of the solution T2FS to the mathematical programming problem with a fuzzy set of constraint indices is proposed. The basic properties of the solution T2FS are investigated. The notion of a compromise maximizing solution is given. Several results are proved that make it possible to simplify its construction. Illustrative examples are given.
{"title":"On a Solution Set to a Mathematical Programming Problem with a Fuzzy Set of Constraint Indices","authors":"","doi":"10.4018/ijfsa.303560","DOIUrl":"https://doi.org/10.4018/ijfsa.303560","url":null,"abstract":"The present paper investigates a mathematical programming problem with a fuzzy set of constraint indices. To formalize the set of feasible alternatives, the concept of intersection of crisp sets with a fuzzy set of operands is used. The result of this operation is a type-2 fuzzy set (T2FS) (a fuzzy set whose membership function takes a fuzzy set of values). Furthermore, the corresponding membership function is given. It is shown that the T2FS of feasible alternatives can be represented in the form of the collection of T2FSs with constant secondary grades. The notion of the solution T2FS to the mathematical programming problem with a fuzzy set of constraint indices is proposed. The basic properties of the solution T2FS are investigated. The notion of a compromise maximizing solution is given. Several results are proved that make it possible to simplify its construction. Illustrative examples are given.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43839461","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}
In this work, we consider the initial value problems in intuitionistic fuzzy ordinary differential equations. The one-step method for approximating the solution of these problems has been defined. The convergence, consistency, and stability of the difference method for approximating the solution of intuitionistic fuzzy differential equations are studied, and the local truncation error is defined. The accuracy and efficiency of the proposed concept are illustrated by solving some numerical examples.
{"title":"Convergence, Consistence, and Stability Analysis of One-Step Methods for First-Order Intuitionistic Fuzzy Differential Equations","authors":"","doi":"10.4018/ijfsa.302123","DOIUrl":"https://doi.org/10.4018/ijfsa.302123","url":null,"abstract":"In this work, we consider the initial value problems in intuitionistic fuzzy ordinary differential equations. The one-step method for approximating the solution of these problems has been defined. The convergence, consistency, and stability of the difference method for approximating the solution of intuitionistic fuzzy differential equations are studied, and the local truncation error is defined. The accuracy and efficiency of the proposed concept are illustrated by solving some numerical examples.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42761314","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}
Sudipa Choudhury, Dipankar Chandra Bhowmik, K. Debnath, A. K. Saha, Harish Garg
Because of its importance and numerous applications, the selection of the best supplier from a pool of accessible suppliers is gaining importance across the world. To reduce the cost of supply chain and to improve the quality of the products, selection of a relevant supplier has become one of the crucial decisions. The objective of this study is to utilize analytical hierarchy process (AHP) in the environment of interval type-2 fuzzy (IT2F) to deal with the ambiguity and vagueness in the problem of supplier selection. A real-world application is also carried out in this study to exhibit the efficacy and effectiveness of the proposed IT2FAHP model. According to the research, the most crucial elements that are effective in selecting suppliers are cost, responsiveness, ability, and reliability. Based on these factors, the most effective supplier has been selected in this study. The result shows that the IT2FAHP model is quite similar with the models in literature.
{"title":"Interval Type 2 Fuzzy Based AHP Approach: A Case Study","authors":"Sudipa Choudhury, Dipankar Chandra Bhowmik, K. Debnath, A. K. Saha, Harish Garg","doi":"10.4018/ijfsa.312244","DOIUrl":"https://doi.org/10.4018/ijfsa.312244","url":null,"abstract":"Because of its importance and numerous applications, the selection of the best supplier from a pool of accessible suppliers is gaining importance across the world. To reduce the cost of supply chain and to improve the quality of the products, selection of a relevant supplier has become one of the crucial decisions. The objective of this study is to utilize analytical hierarchy process (AHP) in the environment of interval type-2 fuzzy (IT2F) to deal with the ambiguity and vagueness in the problem of supplier selection. A real-world application is also carried out in this study to exhibit the efficacy and effectiveness of the proposed IT2FAHP model. According to the research, the most crucial elements that are effective in selecting suppliers are cost, responsiveness, ability, and reliability. Based on these factors, the most effective supplier has been selected in this study. The result shows that the IT2FAHP model is quite similar with the models in literature.","PeriodicalId":38154,"journal":{"name":"International Journal of Fuzzy System Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46428915","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：