Attitude quantifier based possibility distribution generation method for hesitant fuzzy linguistic group decision making

Abstract

The possibility distribution-based approach is one of the powerful tools available to manage hesitant fuzzy linguistic term set (HFLTS) information. However, existing possibility distribution studies have not considered the experts' satisfied preference for HFLTSs in the process of generating the possibility distribution. This paper aims at filling this research gap. To achieve this goal, a novel possibility distribution generation method based on the concept of linguistic quantifier is proposed. This is accomplished by defining a new attitude linguistic quantifier, which is supported with theoretical results to analyze the relationship between the proposed attitude linguistic quantifier with the original linguistic quantifier, attitude indices and the expected linguistic term. The new possibility distribution generation method is proved to be (1) more general than the two main existing approaches, which are particular cases for specific linguistic quantifiers; and (2) useful to implement the concept of soft majority in the resolution process of the decision making situation. Additionally, a new two stages feedback mechanism of attitude adjustment and assessment adjustment is devised to guarantee the convergence of the consensus reaching process. Finally, a framework of group decision making with HFLTSs information is presented and an illustrative example is conducted to verify the proposed method.

Multi-stage consistency optimization algorithm for decision making with incomplete probabilistic linguistic preference relation

“…The HFLTSs considering the possibility distribution is a special case of InPLTSs, i.e., MP-InPLTSs, in which the probabilities of all the LTs are unknown. In view of the research on the generation methods of the possibility distribution for HFLTSs [3,11,38], a comparison of the two modules is performed in this section.…”

“…First, we compare the proposed probability completion method with the generation methods of the possibility distribution for HFLTSs. The main generation methods include M1, i.e., Wu and Xu's method [38]; M2, i.e., Chen et al's method [3] using the normal probability density function (PDF); M3, i.e., Chen et al's method [3] using the exponential PDF; M4, i.e., Hao and Chiclana's method [11] considering the linguistic quantifier modeling the soft majority concept "most"; M5, i.e., Hao and Chiclana's method [11] using the regular increasing monotone quantifier with an exponential generating function. For the convenience of the comparison, we denote the proposed method as M6.…”

“…Additionally, for the latter, the methods in [8,9] can calculate the missing probability of LTs through EFTA technology in the practical context of emergency decision making, but their applications are limited. Although methods considering the possibility distribution of HFLTSs [3,11,38] can solve some of these problems, they are not sufficiently accurate for solving PDM problems.…”

Power‐average‐operator‐based hybrid multiattribute online product recommendation model for consumer decision‐making

“…HFLTS has been well received due to the model's characteristics, and many HFLTS research are focused on issues of its application to group decision‐making (GDM) 48 . Hao and Chiclana 49 embed attitude quantifiers and a new feedback mechanism into HFLTS to deal with GDM, to handle the hesitant fuzzy linguistic GDM problems. Wang 50 proposed the extended HFLTS (EHFLTS), whose underlying meaning is consistent with that of HFS 51 .…”

An improved DEMATEL method for multigranular hesitant fuzzy linguistic environment

“…Thus, it is necessary to improve the DEMATEL method to obtain the group DIM with acceptable experts' satisfaction. The CRP is an efficient way that can improve the experts' consensus level and has been widely utilized in the GDM process 22–24 . Hence, in this paper, we introduce the CRP in the group DIM to achieve high consensus level of group result.…”