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Research on Fuzzy Number Intuitionistic Fuzzy Set Method of Fuzzy Structured Element Analysis and Its Application

Author: HuJinHui
Tutor: GuoSiZuo
School: Liaoning Technical University
Course: Applied Mathematics
Keywords: Fuzzy number intuitionistic fuzzy set Fuzzy Structured Element Theory Intuitionistic fuzzy sets Interval-valued intuitionistic fuzzy sets Intuitionistic Fuzzy Multiple Attribute Decision Making
CLC: O159
Type: Master's thesis
Year: 2009
Downloads: 85
Quote: 1
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Abstract


Fuzzy sets, interval-valued intuitionistic fuzzy sets has been part of the research work at home and abroad . Domestic scholars Liu Feng , Yuanxue Hai has proposed will focus on interval-valued intuitionistic fuzzy number interval extended form of triangular fuzzy numbers , then the fuzzy number intuitionistic fuzzy set concept. However, the triangular fuzzy number is a simple and special fuzzy numbers , not for arbitrary fuzzy numbers are applicable . There is no value to expand the range to work on generalized fuzzy numbers , the reason is that the number of operations and fuzzy sort of expression is extremely difficult. Therefore, this paper based on structural element theory , the interval-valued fuzzy numbers to expand to the general on the fuzzy number intuitionistic fuzzy sets general definitions given fuzzy number intuitionistic fuzzy structured element representation. On this basis , the corresponding element is discussed based on structural representation of fuzzy number intuitionistic fuzzy set some of the algorithms are given based on structural element theory intuitionistic fuzzy multiple attribute decision making structure element algorithm , thereby establishing the intuitionistic fuzzy multiple attribute decision fuzzy structured element analysis techniques. Finally, as an application example is given of a Medical College Hospital structural element theory based on intuitionistic fuzzy multiple attribute decision making evaluation and sorting, ranking as the hospital provides a theoretical basis .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Fuzzy Mathematics
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