An approach to interval-valued hesitant fuzzy multiattribute group decision making based on the generalized Shapley-Choquet integral
type: Item
instance of: scholarly article
title: An approach to interval-valued hesitant fuzzy multiattribute group decision making based on the generalized Shapley-Choquet integral
zbMATH Open document ID: 1398.91214
DOI: 10.1155/2018/3941847
author: Lifei Zhang
author: Fanyong Meng
published in: Complexity
publication date: 2018-09-28T00:00:00Z
review text: Summary: The purpose of this paper is to develop an approach to multiattribute group decision making under interval-valued hesitant fuzzy environment. To do this, this paper defines some new operations on interval-valued hesitant fuzzy elements, which eliminate the disadvantages of the existing operations. Considering the fact that elements in a set may be interdependent, two generalized interval-valued hesitant fuzzy operators based on the generalized Shapley function and the Choquet integral are defined. Then, some models for calculating the optimal fuzzy measures on the expert set and the ordered position set are established. Because fuzzy measures are defined on the power set, it makes the problem exponentially complex. To simplify the complexity of solving a fuzzy measure, models for the optimal 2-additive measures are constructed. Finally, an investment problem is offered to show the practicality and efficiency of the new method.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 6945215
zbMATH Keywords: multiattribute group decision making
zbMATH Keywords: interval-valued hesitant fuzzy environment
zbMATH Keywords: generalized Shapley function
zbMATH Keywords: Choquet integral
zbMATH Keywords: exponential complexity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3941847
OpenAlex ID: W2806260511
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description: scientific article; zbMATH DE number 6945215