Next Article in Journal
Stacked-GRU Based Power System Transient Stability Assessment Method
Next Article in Special Issue
Multiple Attribute Decision-Making Method Using Linguistic Cubic Hesitant Variables
Previous Article in Journal
An Opportunistic Network Routing Algorithm Based on Cosine Similarity of Data Packets between Nodes
Previous Article in Special Issue
Improving Monarch Butterfly Optimization Algorithm with Self-Adaptive Population
Article Menu

Export Article

Open AccessArticle
Algorithms 2018, 11(8), 120; https://doi.org/10.3390/a11080120

Probabilistic Interval-Valued Hesitant Fuzzy Information Aggregation Operators and Their Application to Multi-Attribute Decision Making

1,2
,
1,2,* , 1,2
,
1,2
and
1,2
1
School of Management, Hefei University of Technology, Hefei 230009, China
2
Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei 230009, China
*
Author to whom correspondence should be addressed.
Received: 9 July 2018 / Revised: 27 July 2018 / Accepted: 28 July 2018 / Published: 6 August 2018
(This article belongs to the Special Issue Algorithms for Decision Making)
Full-Text   |   PDF [300 KB, uploaded 6 August 2018]

Abstract

Based on the probabilistic interval-valued hesitant fuzzy information aggregation operators, this paper investigates a novel multi-attribute group decision making (MAGDM) model to address the serious loss of information in a hesitant fuzzy information environment. Firstly, the definition of probabilistic interval-valued hesitant fuzzy set will be introduced, and then, using Archimedean norm, some new probabilistic interval-valued hesitant fuzzy operations are defined. Secondly, based on these operations, the generalized probabilistic interval-valued hesitant fuzzy ordered weighted averaging (GPIVHFOWA) operator, and the generalized probabilistic interval-valued hesitant fuzzy ordered weighted geometric (GPIVHFOWG) operator are proposed, and their desirable properties are discussed. We further study their common forms and analyze the relationship among these proposed operators. Finally, a new probabilistic interval-valued hesitant fuzzy MAGDM model is constructed, and the feasibility and effectiveness of the proposed model are verified by using an example of supplier selection. View Full-Text
Keywords: multi-attribute group decision making; probabilistic interval-valued hesitant fuzzy sets; Archimedean norm; information aggregation operators; supplier selection multi-attribute group decision making; probabilistic interval-valued hesitant fuzzy sets; Archimedean norm; information aggregation operators; supplier selection
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Wu, W.; Li, Y.; Ni, Z.; Jin, F.; Zhu, X. Probabilistic Interval-Valued Hesitant Fuzzy Information Aggregation Operators and Their Application to Multi-Attribute Decision Making. Algorithms 2018, 11, 120.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Algorithms EISSN 1999-4893 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top