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Open AccessArticle

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

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

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