An Improved Axiomatic Definition and Structural Formula of Interval-Valued Intuitionistic Fuzzy Entropy

Abstract:

In view of the defects of existing axiomatic definitions of interval-valued intuitionistic fuzzy entropy, an improved axiomatic definition of the interval-valued intuitionistic fuzzy entropy is presented and the corresponding formula is structured in the paper. Firstly, defects in three kinds of the axiomatic system of entropy of IVIFS are analyzed in detail respectively. New axiomatic entropy definition is proposed for the sake of more reasonable depiction of the fuzziness of IVIFS. Based on the new axiomatic entropy definition, a new computational formula is mentioned. Finally, an example is showed to illustrate the effectiveness of this new formula. Overall, the results indicate that the improved axiomatic definition and the new proposed formula are reasonable and effective.

• Periodical: Applied Mechanics and Materials (Volumes 644-650)
• Pages: 1556-1559
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.644-650.1556
• Online since: September 2014
• Authors: Ming Mei Gao*, Tao Sun, Rui Ping Xu, Li Song, Hui Qun Zhang
• Keywords: Interval-Valued Intuitionistic Entropy, Interval-Valued Intuitionistic Fuzzy Set, Membership Degree, Non-Membership Degree, Unknown Degree

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