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- Title
Some Interval-Valued Intuitionistic Fuzzy Zhenyuan Aggregation Operators and Their Application to Multi-Attribute Decision Making.
- Authors
Mu, Zhimin; Zeng, Shouzhen; Liu, Qingbing
- Abstract
This paper develops some new decision making methods for multi-attribute decision making (MADM) problems, in which the attribute weights take the form of crisp numbers, and attribute values take the form of interval-valued intuitionistic fuzzy information. First, based on the Zhenyuan integral, an interval-valued intuitionistic fuzzy Zhenyuan averaging (IVIFZA) operator and an interval-valued intuitionistic fuzzy Zhenyuan geometric (IVIFZG) operator are introduced to facilitate aggregation of interval-valued intuitionistic fuzzy information. The proposed operators allow one to fully consider the importance of different combinations of attributes and, therefore, are highly suitable to handle problems involving inter-dependent or interactive attributes. We further proceed by exploring some desirable properties of the IVIFZA and IVIVZG operators. By employing the proposed operators, a MADM approach based on intervalvalued intuitionistic fuzzy information is proposed. Finally, an illustrative example is presented to verify the developed approach and to demonstrate its practicality and effectiveness.
- Subjects
FUZZY logic; GROUP decision making; INFORMATION processing; LINEAR programming; PROBLEM solving
- Publication
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, 2018, Vol 26, Issue 4, p633
- ISSN
0218-4885
- Publication type
Article
- DOI
10.1142/S0218488518500290