Interval-valued intuitionistic hesitant fuzzy aggregation operators and their application in group decision-making
type: Item
instance of: scholarly article
title: Interval-valued intuitionistic hesitant fuzzy aggregation operators and their application in group decision-making
zbMATH Open document ID: 1397.91157
DOI: 10.1155/2013/670285
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: Hesitant fuzzy sets, permitting the membership of an element to be a set of several possible values, can be used as an efficient mathematical tool for modelling people's hesitancy in daily life. In this paper, we extend the hesitant fuzzy set to interval-valued intuitionistic fuzzy environments and propose the concept of interval-valued intuitionistic hesitant fuzzy set, which allows the membership of an element to be a set of several possible interval-valued intuitionistic fuzzy numbers. The aim of this paper is to develop a series of aggregation operators for interval-valued intuitionistic hesitant fuzzy information. Then, some desired properties of the developed operators are studied, and the relationships among these operators are discussed. Furthermore, we apply these aggregation operators to develop an approach to multiple attribute group decision-making with interval-valued intuitionistic hesitant fuzzy information. Finally, a numerical example is provided to illustrate the application of the developed approach.
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 6950808
Wikidata QID: Q59003641
author: Zhiming Zhang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/670285
OpenAlex ID: W2128871000
DBLP publication ID: journals/jam/Zhang13
description: scientific article; zbMATH DE number 6950808