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Information Integration And Application Of Two Kinds Of Generalized Operators

Posted on:2019-07-21Degree:MasterType:Thesis
Country:ChinaCandidate:J ZhouFull Text:PDF
GTID:2370330548482038Subject:Mathematics
Abstract/Summary:PDF Full Text Request
Multi-attribute decision making research based on intuitionistic trapezoidal fuzzy and interval intuitionistic trapezoidal fuzzy at home and abroad is aimed primarily at multi-attribute decision making problems based on independent at-tributes,but in real life,the decision-making problem of attribute factors are no longer independent,but with complex and interrelationships.This paper,based on the traditional fuzzy decision method,introduces classical operator which can resolve mutual relationships between attributes,presents multi-attribute deci-sion making method in which attributes have mutual relationships and attributes are valued by intuitionistic trapezoidal fuzzy numbers and interval intuitionis-tic trapezoidal fuzzy multiple attribute group decision making method in which attribute are of a precedence relation.This paper proposes an intuitionistic trapezoidal fuzzy geometric Heronian mean operator based on the geometric Heronian mean operator with respect to the problems of multi-attribute decision making in which the attribute values are in the form of intuitionistic trapezoidal fuzzy numbers and attributes are associat-ed with each other.An approach to intuitionistic fuzzy multi-attribute decision making is developed based on the proposed aggregation operator,and give a numerical example to illustrate the feasibility and effectiveness of the proposed metlhod.Moreover,with respect to the interval-valued intuitionistic trapezoidal fuzzy multi-attribute group decision making problems,new multiply operation and power operation are given,according to the new operational laws and PA operator,the new interval-valued intuitionistic trapezoidal fuzzy generalized pri-oritized weighted geometric aggregation operator is defined.Finally,an illustra-tive example of multi-attribute group decision making problems is examined to demonstrated the effectiveness of the proposed operator.
Keywords/Search Tags:Intuitionistic trapezoidal fuzzy number, interval-valued intuitionistic trapezoidal fuzzy number, prioritized aggregation operator, archimedean norm, geometric heronian mean, multi-attribute decision making, multi-attribute group decision making
PDF Full Text Request
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