Operators and Comparisons of Hesitant Fuzzy Linguistic Term Sets

Wei, Cuiping; Zhao, Na; Tang, Xijin

doi:10.1109/tfuzz.2013.2269144

Cited by 279 publications

(137 citation statements)

References 37 publications

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“…In spite of the novelty of the concept HFLTS, two methods to compare HFLTSs have been already proposed 30,37 . The first comparison method for HFLTSs was proposed by Rodríguez et al 30 .…”

Section: Comparison Methods For Hfltssmentioning

confidence: 99%

“…In order to model this type of uncertainty provoked by hesitancy, Rodríguez et al 29,30 introduced the notion of hesitant fuzzy linguistic term sets (HFLTSs) that facilitates the elicitation of linguistic expressions close to the human beings' cognitive model by means of context-free grammars. The study on the theory and applications of HFLTSs has been quickly spread 2,17,19,20,21,31,34,37,41 because of its usefulness in different applications.…”

Section: Introductionmentioning

confidence: 99%

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A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function

Wei¹,

Ren²,

Rodríguez³

2015

IJCIS

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187

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Hesitant fuzzy linguistic term sets (HFLTSs) are very useful for dealing with the situations in which the decision makers hesitate among several linguistic terms to assess an alternative. Some multi-criteria decision-making (MCDM) methods have been developed to deal with HFLTSs. These methods are derived under the assumption that the decision maker is completely rational and do not consider the decision maker's psychological behavior. But some studies about behavioral experiments have shown that the decision maker is bounded rational in decision processes and the behavior of the decision maker plays an important role in decision analysis. In this paper, we extend the classical TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) method to solve MCDM problems dealing with HFLTSs and considering the decision maker's psychological behavior. A novel score function to compare HFLTSs more effectively is defined. This function is also used in the proposed TODIM method. Finally, a decision-making problem that concerns the evaluation and ranking of several telecommunications service providers is used to illustrate the validity and applicability of the proposed method.

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“…In spite of the novelty of the concept HFLTS, two methods to compare HFLTSs have been already proposed 30,37 . The first comparison method for HFLTSs was proposed by Rodríguez et al 30 .…”

Section: Comparison Methods For Hfltssmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function

Wei¹,

Ren²,

Rodríguez³

2015

IJCIS

Self Cite

187

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“…The preference degree between two HFLTSs has been studied by many researchers [24,27,28,65]; generally, we let H 1 S and H 2 S be the two HFLTSs on…”

Section: A Pseudo-distance Between Two Hfltssmentioning

confidence: 99%

“…To make a multi-criteria linguistic decision with HFLTSs, Rodríguez et al developed the "min − upper" and "max − lower" operators to combine HFLTSs and obtain a linguistic interval for each alternative; then the linguistic intervals are used to build a preference relation between alternatives, and a nondominance choice degree is applied to obtain a solution set of alternatives for the decision problem. The use of the min − upper and max − lower operators produced the first method to deal with hesitant fuzzy linguistic information; since then, many researchers have paid attention to linguistic decision making with HFLTSs, such as in [27], where Lee and Chen proposed likelihood-based comparison relations of HFLTSs and several hesitant fuzzy linguistic aggregation operators to overcome the drawbacks of the methods in [24,28]. In [29], Liu and Rodríguez proposed a fuzzy envelope of HFLTSs for linguistic decision making with HFLTSs.…”

Section: Introductionmentioning

confidence: 99%

“…In [31], Rodríguez et al presented a group decision-making model based on HFLTSs. In [28], Wei et al defined new negation, max-union and min-intersection closed operations for HFLTSs; then they proposed a hesitant fuzzy linguistic weighting averaging operator and a hesitant fuzzy linguistic ordered weighting averaging operator to deal with multi-criteria decision-making problems with HFLTSs. Up to now, operations and extensions of HFLTSs [32][33][34][35][36][37][38], hesitant fuzzy linguistic measures and aggregation operators [39][40][41][42][43], and HFLTSs in decision making [44][45][46][47] have been widely studied.…”

Section: Introductionmentioning

confidence: 99%

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A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

2017

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Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To this end, we first use the preference degree to define a pseudo-distance between two HFLTSs and analyze its properties. Then we present the positive (optimistic) and negative (pessimistic) information of each criterion provided by each decision maker and aggregate these by using weights of decision makers to obtain the hesitant fuzzy linguistic positive and negative ideal solutions. On the basis of the proposed pseudo-distance, we finally obtain the positive (negative) ideal separation matrix and a new relative closeness degree to rank alternatives. We also design an algorithm based on the provided method to carry out hesitant fuzzy linguistic decision making. An illustrative example shows the elaboration of the proposed method and comparison with the symbolic aggregation-based method, the hesitant fuzzy linguistic TOPSIS method and the hesitant fuzzy linguistic VIKOR method; it seems that the proposed method is a useful and alternative decision-making method.

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Hesitant Fuzzy Sets: State of the Art and Future Directions

Rodríguez

Martínez

Torra

et al. 2014

Int. J. Intell. Syst.

407

159

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The necessity of dealing with uncertainty in real world problems has been a long-term research challenge that has originated different methodologies and theories. Fuzzy sets along with their extensions, such as type-2 fuzzy sets, interval-valued fuzzy sets, and Atanassov's intuitionistic fuzzy sets, have provided a wide range of tools that are able to deal with uncertainty in different types of problems. Recently, a new extension of fuzzy sets so-called hesitant fuzzy sets has been introduced to deal with hesitant situations, which were not well managed by the previous tools. Hesitant fuzzy sets have attracted very quickly the attention of many researchers that have proposed diverse extensions, several types of operators to compute with such types of information, and eventually some applications have been developed. Because of such a growth, this paper presents an overview on hesitant fuzzy sets with the aim of providing a clear perspective on the different concepts, tools and trends related to this extension of fuzzy sets. C 2014 Wiley Periodicals, Inc.

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Operators and Comparisons of Hesitant Fuzzy Linguistic Term Sets

Cited by 279 publications

References 37 publications

A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function

A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function

A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

Hesitant Fuzzy Sets: State of the Art and Future Directions

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