Relationships Between Two Types of Intuitionistic Fuzzy Definite Integrals

2016 ◽  
Vol 24 (6) ◽  
pp. 1410-1425 ◽  
Author(s):  
Qian Lei ◽  
Zeshui Xu
Keyword(s):  
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.

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

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

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