A modification of probabilistic hesitant fuzzy sets and its application to multiple criteria decision making

Authors

  • B. Farhadinia Department of Mathematics, Quchan University of Technology, Iran.
  • E. Herrera-Viedma Andalusian Research Institute in Data Science and Computational Intelligence, University of Granada, Granada 18071, Spain
Abstract:

Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of PHFS, we propose a class of T-norm-based and S-norm-based operations for PHFSs together with a number of aggregation operators. Eventually, on the basis of the new operators, the effectiveness and practicality of re-defined PHFS will be tested using {three} multiple criteria decision making (MCDM) problems concerning the automotive industry safety evaluation, the evaluation of Chines hospitals andthe evaluation of alternatives in an investment company.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Horizontal representation of a hesitant fuzzy set and its application to multiple attribute decision making

The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...

full text

Multiple attribute decision making of interval probabilistic hesitant fuzzy information

Hesitant fuzzy set (HFS), which can be accurately and perfectly described in terms of the opinions of decision makers, is considered as a powerful tool to express uncertain information in the process of multi-attribute decision making (MADM) problems. The core of the HFS is the hesitant fuzzy element (HFE).This paper developed a method, which using the interval probabilistic hesitant fuzzy elem...

full text

Correlation Coefficients of Interval Neutrosophic Hesitant Fuzzy Sets and Its Application in a Multiple Attribute Decision Making Method

Abstract. This paper proposes the concept of an interval neutrosophic hesitant fuzzy set (INHFS) and the operational relations of INHFSs. Then, we develop correlation coefficients of INHFSs and investigate the relation between the similarity measures and the correlation coefficients. Furthermore, a multiple attribute decision making method based on the correlation coefficients is established un...

full text

A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making

Decision making is a process common to human beings. The uncertainty and fuzziness of problems demand the use of the fuzzy linguistic approach to model qualitative aspects of problems related to decision. The recent proposal of hesitant fuzzy linguistic term sets supports the elicitation of comparative linguistic expressions in hesitant situations when experts hesitate among different linguisti...

full text

An extension of ELECTRE to multi-criteria decision-making problems with multi-hesitant fuzzy sets

In hesitant fuzzy sets (HFSs), which are generalized from fuzzy sets, the membership degree of an element to a set, for which decision-makers hesitate while considering several values before expressing their preferences concerning weights and data, can be assigned one or more possible precise values between zero and one. If two or more decision-makers assign an equivalent value, that value is o...

full text

The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making

The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Hong-yu Zhang & Xiao-hong Chen To cite this article: Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Hong-yu Zhang & Xiao-hong Chen (2015) The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-c...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 17  issue 4

pages  151- 166

publication date 2020-08-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023