Definite Integrals of Atanassov's Intuitionistic Fuzzy Information

2015 ◽  
Vol 23 (5) ◽  
pp. 1519-1533 ◽  
Author(s):  
Qian Lei ◽  
Zeshui Xu ◽  
Humberto Bustince ◽  
Ana Burusco
Keyword(s):  
Fuzzy Information ◽  
Definite Integrals ◽  
Intuitionistic Fuzzy

An Approach Based on Definite Integrals to Multi-Criteria Decision Making with Correlative Intuitionistic Fuzzy Information

2016 ◽  
Vol 24 (06) ◽  
pp. 807-829 ◽  
Author(s):  
Shan Yu ◽  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Fuzzy Measure ◽  
Multi Criteria Decision Making ◽  
Fuzzy Information ◽  
Definite Integrals ◽  
Intuitionistic Fuzzy ◽  
Technology Improvement ◽  
Fusion Methods

Integration plays a very important role in the fusion methods. In this paper, we put forward the subtraction and division definite integrals based on the fuzzy measure and the admissible order for aggregating not only discrete but also continuous correlative intuitionistic fuzzy information. These definite integrals are implemented by constructing the integrands and the integral limits respectively, and based on which an approach to multi-criteria decision making with correlative intuitionistic fuzzy information is developed. Finally, an illustrative example involving technology improvement of Midwest American Manufacturing Corp is employed to verify the practicality and effectiveness of our approach.

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