Constructing and Managing Multi-Granular Linguistic Values Based on Linguistic Terms and Their Fuzzy Sets

Li, Yan; Pei, Zheng; Ren, Fenghui

doi:10.1109/access.2019.2948847

Cited by 13 publications

(7 citation statements)

References 56 publications

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“…H} is the set of all LIFSs on H. Inspired by the constructing and managing multi-granular linguistic values method proposed in [48], any IFS (µ(u), ν(u)) = ((a, b, c), (a , b , c )) on [0, 1] can be transformed into a LIFS on H as follows:…”

Section: B the Transformation Methods Between Intuitionistic Fuzzy Sementioning

confidence: 99%

“…In real-world LDM problems, due to different knowledge level, background or experience, decision makers maybe provide multi-granular linguistic assessments of alternatives with respect to criteria. In multi-granular linguistic decision making methods, transformation functions are utilized to transform multi-granular linguistic terms from one linguistic hierarchy into other linguistic hierarchy [45]- [48], then linguistic aggregation operators or linguistic ordering methods are provided to carry out multi-granular linguistic decision problems. Similarly, in intuitionistic fuzzy decision environment, decision makers maybe provide IFV, IFS or LIFS assessments of alternatives with respect to criteria in the same intuitionistic fuzzy decision problem.…”

Section: Introductionmentioning

confidence: 99%

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Novel Transformation Methods Among Intuitionistic Fuzzy Models for Mixed Intuitionistic Fuzzy Decision Making Problems

Kong

2020

IEEE Access

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As an extension of classical fuzzy set, intuitionistic fuzzy set (IFS) has been widely utilized in decision making. Based on IFS, intuitionistic fuzzy value (IFV) and linguistic intuitionistic fuzzy set (LIFS) have also been proposed to represent uncertain assessments of alternatives in different intuitionistic fuzzy decision environment. Theoretically, IFV, IFS or LIFS own themselves processing methods in decision making. However, they may be utilized to represent intuitionistic fuzzy assessments of alternatives in the same decision problem, i.e., multi-decision makers provide IFVs, IFSs or LIFSs to represent uncertain assessments of alternatives in the decision problem. In such case, the significant challenge is to unify IFVs, IFSs and LIFSs in the decision making matrices. In the paper, novel transformation methods are presented to unify IFVs, IFSs and LIFSs. To this end, mixed intuitionistic fuzzy decision matrix is presented to represent IFV, IFS or LIFS assessments of alternatives provided by decision makers, then transformation functions are developed to unify IFVs, IFSs and LIFSs in the decision making matrices, their properties are also analysed. The decision making method is presented to solve the intuitionistic fuzzy decision making problems with IFVs, IFSs or LIFSs, which is consisted of six main phases, accordingly the algorithm is designed to carry out the problems. Illustrative examples show that transformation functions are useful in intuitionistic fuzzy decision environment, the proposed decision making method is an effective and alternative tool for the intuitionistic fuzzy decision making problems with IFVs, IFSs or LIFSs. INDEX TERMS Mixed intuitionistic fuzzy decision making, intuitionistic fuzzy value, intuitionistic fuzzy set, linguistic intuitionistic fuzzy set.

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Section: B the Transformation Methods Between Intuitionistic Fuzzy Sementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Novel Transformation Methods Among Intuitionistic Fuzzy Models for Mixed Intuitionistic Fuzzy Decision Making Problems

Kong

2020

IEEE Access

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“…Fuzzy linguistic representation model is the main issue of computing with words; in Yan et al (2019), computing with words is divided into three categories, i.e., via fuzzy sets of linguistic values, via fuzzy logic or algebra on the set of linguistic values and via an ordered structure of linguistic values. In LDM methods, computing with words via an ordered structure of linguistic values is also called as the symbolic model of fuzzy linguistic representation (Herrera and Martínez 2000), 2-TLM is the foundation of the symbolic model; formally, 2-TLM is consisted by a pair of elements (s j , α), where linguistic term s j is in an primary linguistic term set S = {s 0 , .…”

Section: Basic Fuzzy Linguistic Representation Modelmentioning

confidence: 99%

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

Pei

2021

Soft Comput

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The notable characteristic of large-scale linguistic decision-making problems is that there are so many decision makers who provide linguistic assessments by using fuzzy linguistic representation models. In real-world applications, fuzzy linguistic terms mean different things for different people, and linguistic assessments based on different linguistic representation models may be simultaneous in the same large-scale linguistic decision-making problems. To this end, a novel linguistic decision-making method based on the voting model is proposed in the paper to deal with multi-linguistic assessments provided by decision makers. In large-scale linguistic decision process, evaluation-based voting is defined and multi-linguistic decision matrix is designed to represent multi-linguistic assessments provided by decision makers by using different linguistic representation models, and properties of the decision matrix are analyzed to show that linguistic assessments based on different linguistic representation models can be simultaneously represented. Based on multi-linguistic decision matrix, a new linguistic decision-making framework is developed to deal with large-scale linguistic decision-making problems with multi-linguistic assessments, in which normalization of multi-linguistic decision matrix and trust degrees of linguistic terms are contained, and more important, based on trust degrees of linguistic terms and 2-tuple fuzzy linguistic aggregation operators, an uniform fusion method of multi-linguistic assessments is proposed to aggregate multi-linguistic assessments of large-scale linguistic decision-making problems. Finally, user experiences of shared bikes, which are a large-scale linguistic decision-making problem in real-world applications, are employed to show the new decision-making framework and the uniform fusion method of multi-linguistic assessments, and furthermore, compared with existing linguistic decision-making methods analyzed in the example, it seems that multi-linguistic decision matrix and the uniform fusion method are useful and effective tools to deal with large-scale linguistic decision-making problems with multi-linguistic assessments.

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“…Fuzzy linguistic representation model is the main issue of computing with words, in [38], computing with words are divided into three categories, i.e., via fuzzy sets of linguistic values, via fuzzy logic or algebra on the set of linguistic values and via an ordered structure of linguistic values. In LDM methods, computing with words via an ordered structure of linguistic values is also called as the symbolic model of fuzzy linguistic representation [8], 2-TLM is the foundation of the symbolic model, formally, 2-TLM is consisted by a pair of elements (s j , α), where linguistic term s j is in an primary linguistic term set S = {s 0 , • • • , s g } and α ∈ [−0.5, 0.5) is a numerical value that represents the value of the symbolic translation.…”

Section: Basic Fuzzy Linguistic Representation Modelmentioning

confidence: 99%

A Novel Linguistic Decision Making Method Based on the Voting Model for Large-Scale Linguistic Decision making

Pei

Yan

2021

Preprint

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The notable characteristic of large-scale linguistic decision making problems is that there are so many decision makers provide linguistic assessments according to fuzzy linguistic representation models. In real world applications, fuzzy linguistic terms mean different things for different people, it means that linguistic assessments based on linguistic representation models may be simultaneous in the same large-scale linguistic decision making problems. To this end, a novel linguistic decision making method based on the voting model is proposed in the paper, which can be utilized to deal with large-scale linguistic decision making problems with linguistic assessments based on multi linguistic representation models. In large-scale linguistic decision process, evaluation-based voting is defined and multi linguistic decision matrix is designed to represent multi linguistic assessments provided by many decision makers according to linguistic representation models, properties of the decision matrix are analysed to show that linguistic assessments based on linguistic representation models can be simultaneously represented. Based on multi linguistic decision matrix, a new linguistic decision making framework is developed to deal with large-scale linguistic decision making problems with multi linguistic assessments, in which normalization of multi linguistic decision matrix and trust degrees of linguistic terms are contained, more important, based on trust degrees of linguistic terms and 2-tuple fuzzy linguistic aggregation operators, an uniform fusion method of multi linguistic assessments is proposed to aggregate multi linguistic assessments of large-scale linguistic decision making problems. Finally, user experiences of shared bikes, which is a large-scale linguistic decision making problem in real-world applications, is employed to show the new decision making framework and the uniform fusion method of multi linguistic assessments, furthermore comparison with existing linguistic decision making methods are analyzed in the example, it seems that multi linguistic decision matrix and the uniform fusion method are useful and effective tools to deal with large-scale linguistic decision making problems with multi linguistic assessments.

show abstract

Constructing and Managing Multi-Granular Linguistic Values Based on Linguistic Terms and Their Fuzzy Sets

Cited by 13 publications

References 56 publications

Novel Transformation Methods Among Intuitionistic Fuzzy Models for Mixed Intuitionistic Fuzzy Decision Making Problems

Novel Transformation Methods Among Intuitionistic Fuzzy Models for Mixed Intuitionistic Fuzzy Decision Making Problems

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

A Novel Linguistic Decision Making Method Based on the Voting Model for Large-Scale Linguistic Decision making

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