Toward a Classification of Hesitant Operators in the 2-Tuple Linguistic Model

Abstract

Several types of sets, such as hesitant fuzzy sets, permit to express hesitation, doubt, or perplexity during, e.g., a decision-making process. In this paper, we start giving thought to the hesitant operators in certain models such as the 2-tuple models or the symbolic model. On the basis of the definition of uncertainty, hesitation, doubt, etc. in linguistics, we suggest to shed new light on their meaning and on the way they can be linked in the considered frameworks. Five types of hesitant expressions are discussed, and a parallel between the expressions and the mathematical operators in the considered models is drawn. Two new operators in the 2-tuple semantic model and one new operator in the symbolic model are proposed with a classification of all the discussed operators. C 2014 Wiley Periodicals, Inc.

Two‐tuple linguistic utility aggregation operator and its applications to group decision‐making

“…η or γ) (see Nos. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], two parameters β and η (resp. β and γ, η, andγ) (see Nos.…”

“…The two-tuple linguistic model has been widely applied to linguistic MAGDM because it can represent any counting of information in the universe of discourse and can avoid information distortion in linguistic information processing. 3,9 To select a suitable alternative in the decision-making process, the information of alternatives should be aggregated using appropriate approaches. 10 Many methods have been adopted for aggregating information, and one of the most popular methods is the ordered weighted averaging (OWA) operator introduced by Yager.…”

Supplier Selection of Medical Consumption Products with a Probabilistic Linguistic MABAC Method

“…Estrella et al [5] proposed Flintstones, which tackled linguistic MADM issues within a two-tuple linguistic environment; they also designed the Flintstones website, which kept a helpful numerical example and dataset repository for diverse linguistic decision making issues. In recent years, more and more studies have combined the two-tuple linguistic model with interval numbers [6,7], intuitionistic fuzzy sets (IFSs) [8,9], Pythagorean fuzzy sets (PFSs), hesitant fuzzy sets (HFSs) [10][11][12][13], and bipolar fuzzy sets (BFSs). Above all, Rodriguez et al [14] put introduced hesitant fuzzy linguistic term sets (HFLTSs) on the basis of HFSs [15] and LTSs [16].…”

Natural Language Processing and Fuzzy Tools for Business Processes in a Geolocation Context

“…While a previous paper [1] proposed a classification of several linguistic models, including the semantic fuzzy 2-tuple model, this paper focuses on intuitive and simple interfaces, expressed in natural language, in a real-case study (geolocation applications), using the semantic fuzzy 2-tuple model.…”