Pub Date : 2022-07-03DOI: 10.1080/16168658.2022.2140479
Mehrnoosh Salari, R. Ghanbari, Khatere Ghorbani-Moghadam
We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector. Next, we compute the solution of FLRIALS (fuzzy LR interval algebraic linear systems) using the least squares approach. We show that solving the least squares problem is equivalent to solving a quadratic programming problem. Indeed, instead of the FLRIALS, this quadratic programming has a non-convex constraint. Thus, we relax this constraint to have a convex search space. Then, from the solution obtained from quadratic programming on convex search space, we give an approximate solution for FLRIALS.
{"title":"Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems","authors":"Mehrnoosh Salari, R. Ghanbari, Khatere Ghorbani-Moghadam","doi":"10.1080/16168658.2022.2140479","DOIUrl":"https://doi.org/10.1080/16168658.2022.2140479","url":null,"abstract":"We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector. Next, we compute the solution of FLRIALS (fuzzy LR interval algebraic linear systems) using the least squares approach. We show that solving the least squares problem is equivalent to solving a quadratic programming problem. Indeed, instead of the FLRIALS, this quadratic programming has a non-convex constraint. Thus, we relax this constraint to have a convex search space. Then, from the solution obtained from quadratic programming on convex search space, we give an approximate solution for FLRIALS.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"64 1","pages":"349 - 359"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91336933","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: 10.1080/16168658.2022.2160226
Ö. Kişi, P. Debnath
The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Then, we examine the Fibonacci I-Cauchy sequences and Fibonacci I completeness in the construction of an intuitionistic fuzzy normed linear space. Some intuitionistic fuzzy Fibonacci ideal convergent spaces have been established. Further, we prove on some algebraic and topological features of these convergent sequence spaces.
{"title":"Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces","authors":"Ö. Kişi, P. Debnath","doi":"10.1080/16168658.2022.2160226","DOIUrl":"https://doi.org/10.1080/16168658.2022.2160226","url":null,"abstract":"The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Then, we examine the Fibonacci I-Cauchy sequences and Fibonacci I completeness in the construction of an intuitionistic fuzzy normed linear space. Some intuitionistic fuzzy Fibonacci ideal convergent spaces have been established. Further, we prove on some algebraic and topological features of these convergent sequence spaces.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"23 1","pages":"255 - 268"},"PeriodicalIF":1.2,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73452833","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 : 2022-04-03DOI: 10.1080/16168658.2022.2119041
Z. Al-Zhour, Ahmad El-Ajou, Moa’ath N. Oqielat, Osama N. Al-Oqily, Shadi Salem, M. Imran
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an -level depiction in the sense of strongly generalized -fuzzy conformable derivative in which of the all initial conditions are taken to be fuzzy numbers. Methodology: The certain fuzzy conformable fractional differential equation under strongly generalized -fuzzy derivative is converted to a crisp one as a family of differential inclusions and solved via resiual power method. The main drawback concerning the use of differential inclusions is that it does not contain a fuzzification of the differential operator; instead, the solution is not essentially a fuzzy valued function. Findings: (i) To show the efficiency of our proposed method: Several important and attractive test examples, which included the fractional conformable fuzzy integro-differential equation are discussed and solved in detail. (ii) To show the stability of approximate solutions to specific problems: some graphical results, numerical comparisons and tabulate data are created and discussed at different values of Value: Using the residual power series analysis methos is a powerful and easy-to-use analytic tool to solve initial problems on fuzzy conformable fractional differential equations and it successfully applied to solve real life problems such as the inductance–resistance–capacitance, RLC-series circuit.
{"title":"Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations","authors":"Z. Al-Zhour, Ahmad El-Ajou, Moa’ath N. Oqielat, Osama N. Al-Oqily, Shadi Salem, M. Imran","doi":"10.1080/16168658.2022.2119041","DOIUrl":"https://doi.org/10.1080/16168658.2022.2119041","url":null,"abstract":"Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an -level depiction in the sense of strongly generalized -fuzzy conformable derivative in which of the all initial conditions are taken to be fuzzy numbers. Methodology: The certain fuzzy conformable fractional differential equation under strongly generalized -fuzzy derivative is converted to a crisp one as a family of differential inclusions and solved via resiual power method. The main drawback concerning the use of differential inclusions is that it does not contain a fuzzification of the differential operator; instead, the solution is not essentially a fuzzy valued function. Findings: (i) To show the efficiency of our proposed method: Several important and attractive test examples, which included the fractional conformable fuzzy integro-differential equation are discussed and solved in detail. (ii) To show the stability of approximate solutions to specific problems: some graphical results, numerical comparisons and tabulate data are created and discussed at different values of Value: Using the residual power series analysis methos is a powerful and easy-to-use analytic tool to solve initial problems on fuzzy conformable fractional differential equations and it successfully applied to solve real life problems such as the inductance–resistance–capacitance, RLC-series circuit.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"65 1","pages":"182 - 211"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91222979","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 : 2022-04-03DOI: 10.1080/16168658.2022.2117514
N. Torabi, R. Tavakkoli-Moghaddam, A. Siadat
ABSTRACT This paper presents a combination of the data envelopment analysis (DEA) and discriminant analysis (DA) to evaluate the bankrupt business in a fuzzy environment. The DEA is a non-parametric method that can be used for various assessments. The DA is a statistical method that can predict an appropriate group for new observations. The combination of DEA and DA methods creates a powerful method that includes the advantages of both methods. According to the special features of this method (e.g. high resolution and assessment accuracy), it can be used for a bankruptcy assessment of organisations. In normal conditions, accurate measurement of data is very difficult, which is why considering the uncertainty conditions in models can make them more applied. Using a fuzzy condition in models can help this issue. Finally, the results are illustrated and discussed.
{"title":"Combination of the Data Envelopment Analysis and the Discriminant Analysis for Evaluating Bankrupt Business in a Fuzzy Environment","authors":"N. Torabi, R. Tavakkoli-Moghaddam, A. Siadat","doi":"10.1080/16168658.2022.2117514","DOIUrl":"https://doi.org/10.1080/16168658.2022.2117514","url":null,"abstract":"ABSTRACT This paper presents a combination of the data envelopment analysis (DEA) and discriminant analysis (DA) to evaluate the bankrupt business in a fuzzy environment. The DEA is a non-parametric method that can be used for various assessments. The DA is a statistical method that can predict an appropriate group for new observations. The combination of DEA and DA methods creates a powerful method that includes the advantages of both methods. According to the special features of this method (e.g. high resolution and assessment accuracy), it can be used for a bankruptcy assessment of organisations. In normal conditions, accurate measurement of data is very difficult, which is why considering the uncertainty conditions in models can make them more applied. Using a fuzzy condition in models can help this issue. Finally, the results are illustrated and discussed.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"45 1","pages":"212 - 227"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72847273","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 : 2022-04-03DOI: 10.1080/16168658.2022.2119828
L. Kamali Ardekani, B. Davvaz
In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups . In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of , which has a consistent group theoretical foundation. In fact, the corresponding equivalence classes of fuzzy (normal) subgroups of are closely connected to the structure of (normal) subgroups lattice of and chains of subgroups of , which terminate in . In this regards, the Inclusion-Exclusion principle plays an essential role and in some situations leads to recurrence relations, whose their solutions can be easily found.
{"title":"On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U 6n","authors":"L. Kamali Ardekani, B. Davvaz","doi":"10.1080/16168658.2022.2119828","DOIUrl":"https://doi.org/10.1080/16168658.2022.2119828","url":null,"abstract":"In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups . In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of , which has a consistent group theoretical foundation. In fact, the corresponding equivalence classes of fuzzy (normal) subgroups of are closely connected to the structure of (normal) subgroups lattice of and chains of subgroups of , which terminate in . In this regards, the Inclusion-Exclusion principle plays an essential role and in some situations leads to recurrence relations, whose their solutions can be easily found.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"30 1","pages":"152 - 166"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86558464","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 : 2022-04-03DOI: 10.1080/16168658.2022.2120225
R. Savaş
The main goal of this article is to present the notion of double asymptotically lacunary statistical equivalent of order α for sequences of fuzzy numbers by considering fuzzy numbers and Pringsheim limit. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Additionally, it should be note that some interesting inclusion theorems are examined and also new variations are presented.
{"title":"Multidimensional Asymptotically Lacunary Statistical Equivalent of Order α for Sequences of Fuzzy Numbers","authors":"R. Savaş","doi":"10.1080/16168658.2022.2120225","DOIUrl":"https://doi.org/10.1080/16168658.2022.2120225","url":null,"abstract":"The main goal of this article is to present the notion of double asymptotically lacunary statistical equivalent of order α for sequences of fuzzy numbers by considering fuzzy numbers and Pringsheim limit. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Additionally, it should be note that some interesting inclusion theorems are examined and also new variations are presented.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"55 1","pages":"143 - 151"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84532232","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 : 2022-04-03DOI: 10.1080/16168658.2022.2121153
Fatima Saeedi Aval Noughabi, N. Malekmohammadi, F. Hosseinzadeh lotfi, S. Razavyan
This paper presents a model for the efficiency evaluation of decision-making units comprising a network structure with undesirable intermediate measures. This model is then generalised to evaluate the efficiency of network decision-making units with triangular fuzzy data and undesirable intermediate measures. In this study, data envelopment analysis (DEA) models with fuzzy network structures and undesirable intermediate measures are considered and solved as linear triangular fuzzy planning problems. With numerical results, the application of the proposed model in the chipboard industry of wood lumber has been shown.
{"title":"Efficiency Decomposition in Two-Stage Network in Data Envelopment Analysis with Undesirable Intermediate Measures and Fuzzy Input and Output","authors":"Fatima Saeedi Aval Noughabi, N. Malekmohammadi, F. Hosseinzadeh lotfi, S. Razavyan","doi":"10.1080/16168658.2022.2121153","DOIUrl":"https://doi.org/10.1080/16168658.2022.2121153","url":null,"abstract":"This paper presents a model for the efficiency evaluation of decision-making units comprising a network structure with undesirable intermediate measures. This model is then generalised to evaluate the efficiency of network decision-making units with triangular fuzzy data and undesirable intermediate measures. In this study, data envelopment analysis (DEA) models with fuzzy network structures and undesirable intermediate measures are considered and solved as linear triangular fuzzy planning problems. With numerical results, the application of the proposed model in the chipboard industry of wood lumber has been shown.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"31 1","pages":"123 - 142"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80627935","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 : 2022-04-03DOI: 10.1080/16168658.2022.2119052
M. Norouzi, R. Ameri
ABSTRACT We introduce and study some new directions on soft hypermodules and soft fuzzy hypermodules. In this regard, we apply soft set theory to hypermodules to introduce the classes of soft hypermodules and soft fuzzy hypermodules and obtain their basic properties. In particular, we study the connection between soft hypermodules and soft fuzzy hypermodules by associated (fuzzy) hyperoperations and obtain some related basic results.
{"title":"Some New Directions in Soft (Fuzzy) Hypermodules","authors":"M. Norouzi, R. Ameri","doi":"10.1080/16168658.2022.2119052","DOIUrl":"https://doi.org/10.1080/16168658.2022.2119052","url":null,"abstract":"ABSTRACT We introduce and study some new directions on soft hypermodules and soft fuzzy hypermodules. In this regard, we apply soft set theory to hypermodules to introduce the classes of soft hypermodules and soft fuzzy hypermodules and obtain their basic properties. In particular, we study the connection between soft hypermodules and soft fuzzy hypermodules by associated (fuzzy) hyperoperations and obtain some related basic results.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"140 1","pages":"167 - 181"},"PeriodicalIF":1.2,"publicationDate":"2022-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88959371","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 : 2022-03-31DOI: 10.1080/16168658.2022.2057065
Merin Jose, S. Mathew
In this paper, the authors introduce the notion of weak r-level LM-G-filter spaces and strong p-level LM-G-filter spaces and discuss certain properties of these spaces. The study identifies -G, the category of weak r-level LM-G-filter spaces as an isomorphism-closed bireflective full subcategory of LM-G, the category of LM-G-filter spaces. It is also proved that -G, the category of strong p-level LM-G-filter spaces is an isomorphism-closed bicoreflective full subcategory of LM-G. Moreover, level decompositions of LM-G-filter spaces are studied and some properties of the associated L-pre G-filter spaces are obtained.
{"title":"On the Categories of Weak and Strong LM-G-Filter Spaces","authors":"Merin Jose, S. Mathew","doi":"10.1080/16168658.2022.2057065","DOIUrl":"https://doi.org/10.1080/16168658.2022.2057065","url":null,"abstract":"In this paper, the authors introduce the notion of weak r-level LM-G-filter spaces and strong p-level LM-G-filter spaces and discuss certain properties of these spaces. The study identifies -G, the category of weak r-level LM-G-filter spaces as an isomorphism-closed bireflective full subcategory of LM-G, the category of LM-G-filter spaces. It is also proved that -G, the category of strong p-level LM-G-filter spaces is an isomorphism-closed bicoreflective full subcategory of LM-G. Moreover, level decompositions of LM-G-filter spaces are studied and some properties of the associated L-pre G-filter spaces are obtained.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"67 1","pages":"228 - 242"},"PeriodicalIF":1.2,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89290549","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 : 2022-01-02DOI: 10.1080/16168658.2021.1947944
E. Emam
In this paper, we discuss in detail several properties of two kinds of intuitionistic fuzzy matrices which they are consistent and weak transitive. The nilpotent and transitive intuitionistic fuzzy matrices play an important role in this discussion. We show that our two kinds of matrices are controllable. We give a formula for the canonical form of a weak transitive intuitionistic fuzzy matrix. Our results are completely by counter examples to clarify it.
{"title":"On Consistent and Weak Transitive Intuitionistic Fuzzy Matrices","authors":"E. Emam","doi":"10.1080/16168658.2021.1947944","DOIUrl":"https://doi.org/10.1080/16168658.2021.1947944","url":null,"abstract":"In this paper, we discuss in detail several properties of two kinds of intuitionistic fuzzy matrices which they are consistent and weak transitive. The nilpotent and transitive intuitionistic fuzzy matrices play an important role in this discussion. We show that our two kinds of matrices are controllable. We give a formula for the canonical form of a weak transitive intuitionistic fuzzy matrix. Our results are completely by counter examples to clarify it.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"21 1","pages":"16 - 25"},"PeriodicalIF":1.2,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72941133","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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