A new method of aggregation of fuzzy number based on the dempster/shafer theory
Bingyi Kang, Ya Juan Zhang, Xin Yang Deng, Ji Wu, Xiaohong Sun, Yong Deng
Abstract
Bingyi Kang, Ya Juan Zhang, Xin Yang Deng, Ji Wu, Xiaohong Sun, Yong Deng
Abstract
There exists lots of fuzzy and imprecise information with the development of society and technology. How to combine and evaluate these information becomes significant. This paper takes the proportion of the membership function values into consideration and makes use of each interval area value compared with the whole area of fuzzy number to measure the distribution of the membership function values. A triangular membership function was used to represent the fuzzy numbers. Then, the BPA of each point selected can be gained through multiplying the membership function values with their proportion respectively. At last, the D/S Theory was used to aggregate the fuzzy numbers. Through an instance, we get an acceptable result.
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There exists lots of fuzzy and imprecise information with the development of society and technology. How to combine and evaluate these information becomes significant. This paper takes the proportion of the membership function values into consideration and makes use of each interval area value compared with the whole area of fuzzy number to measure the distribution of the membership function values. A triangular membership function was used to represent the fuzzy numbers. Then, the BPA of each point selected can be gained through multiplying the membership function values with their proportion respectively. At last, the D/S Theory was used to aggregate the fuzzy numbers. Through an instance, we get an acceptable result.
Key concepts: Membership function, Fuzzy number, Mathematics, Fuzzy set, Fuzzy classification, Fuzzy logic, Type-2 fuzzy sets and systems, Defuzzification