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An integrated method for multiattribute group decision making with probabilistic linguistic term sets
Author(s) -
Xu GaiLi,
Wan ShuPing,
Li XueBiao,
Feng FengXiang
Publication year - 2021
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22572
Subject(s) - group decision making , probabilistic logic , operator (biology) , measure (data warehouse) , entropy (arrow of time) , term (time) , computer science , similarity (geometry) , mathematics , similarity measure , artificial intelligence , algorithm , data mining , biochemistry , chemistry , physics , repressor , quantum mechanics , political science , transcription factor , law , image (mathematics) , gene
This paper investigates multiple attribute group decision making (MAGDM) with probabilistic linguistic term sets (PLTSs) and proposes an integrated decision method for solving such problems. First, a novel distance measure of PLTSs is defined, and then a distance‐based entropy measure and similarity measure are proposed. Subsequently, supposing that elements are independent of each other, an induced generalized PL‐ordered weighted average (IG‐PLOWA) operator and an induced generalized PL hybrid average (IG‐PLHA) operator are introduced. Afterwards, considering some cases in which elements are interactive, an induced generalized probabilistic linguistic Shapley hybrid average (IG‐PLSHA) operator is presented, and some desirable properties of this operator are further studied. Fusing the entropy and similarity degrees of decision makers (DMs), DM weights are determined objectively. Then, considering the interactions among attributes and the psychological behaviors of DMs, the models for obtaining the fuzzy measures on the attribute set are built based on the Shapley values and the prospect theory. Finally, taking DMs' risk attitudes into account, an integrated decision making method based on the IG‐PLSHA operator is developed. At length, an example is provided to illustrate the feasibility and practicality of the developed method.