Hesitant Fuzzy Linguistic Term Sets for Decision Making

By Rosa M. Rodríguez, Luis Martínez-López, Francisco Herrera. IEEE transactions on fuzzy systems, 2012

2,167 citations recorded by the source corpus.

Dealing with uncertainty is always a challenging problem, and different tools have been proposed to deal with it. Recently, a new model that is based on hesitant fuzzy sets has been presented to manage situations in which experts hesitate between several values to assess an indicator, alternative, variable, etc. Hesitant fuzzy sets suit the modeling of quantitative settings; however, similar situations may occur in qualitative settings so that experts think of several possible linguistic values or richer expressions than a single term for an indicator, alternative, variable, etc. In this paper, the concept of a hesitant fuzzy linguistic term set is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms. Then, a multicriteria linguistic decision-making model is presented in which experts provide their assessments by eliciting linguistic expressions. This decision model manages such linguistic expressions by means of its representation using hesitant fuzzy linguistic term sets.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/ff580bf00536412cdd65b543883af63becef9ce5

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Citations in the corpus

A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets (2013, background): “The use of hesitant fuzzy linguistic term sets (HFLTS) [33] improves the previous linguistic approaches [20,37,40] in their aim of achieving the previous improvements pointed out.”
Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis (2013, neutral): “[36].”
Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making (2013, background): “[33] introduced the concept of the hesitant fuzzy linguistic term set (HFLTS) based on the fuzzy linguistic approach and hesitant fuzzy sets, which will serve as a basis for increased flexibility in the elicitation of linguistic information by means of linguistic expressions.”
Hesitant Fuzzy Linguistic VIKOR Method and Its Application in Qualitative Multiple Criteria Decision Making (2015, methodology): “The HFLTS has been investigated by many scholars after being proposed (for more details, see [8] and [15]–[20]).”
Consistency-based risk assessment with probabilistic linguistic preference relation (2016, background): “[3] proposed the concept of hesitant fuzzy linguistic term sets (HFLTSs).”
Consistency Measures for Hesitant Fuzzy Linguistic Preference Relations (2014, background): “Definition 3 [2]: Let S ′ be a linguistic term set S ′ = {s0 , .”
Probabilistic Linguistic MULTIMOORA: A Multicriteria Decision Making Method Based on the Probabilistic Linguistic Expectation Function and the Improved Borda Rule (2018, methodology): “The HFLTS is a useful tool to express hesitant linguistic evaluations [5].”
Fuzzy Multicriteria Decision-Making: A Literature Review (2015, positive): “Recently hesitant fuzzy linguistic term sets (HFTLS) have been proposed to increase the richness of linguistic elicitation [13].”
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets (2013, background): “Later, a number of other extensions of the HFSs have been developed such as dual hesitant fuzzy sets (DHFSs) [43], generalized hesitant fuzzy sets (GHFSs) [16] and hesitant fuzzy linguistic term sets (HFLTSs) [17].”