Research On Intuitionistic Trapezoidal Fuzzy Multi-attribute Decision-making Method Based On Mutal Relationship Between Attribute

Multi-attribute decision-making research based on intuitionistic trapezoidal fuzzynumbers at home and abroad is targeted primarily at multi-attribute decision-makingproblems based on independent attributes, but in real life, property factors involved indecision-making are no longer independent, but with complex interrelationships. Thispaper, based on intuitionistic trapezoidal fuzzy multi-attribute decision-making method,introduces classical operators which can resolve mutual relationships between attributes,presents multi-attribute decision-making method in which attributes have mutualrelationships and attributes are valued by intuitionistic trapezoidal fuzzy numbers. Themethod can help decision-makers get more scientific and reasonable results in the real-lifedecision-making, and it is cutting-edge and exploratory, this research has a very importantsignificance in the theory and practical application.Aimed at multi-attribute decision-making problems in which attributes have mutualrelationships and values are intuitionitic trapezoidal fuzzy numbers, this paper puts forwardintuitionistic trapezoidal fuzzy multi-attribute decision-making method based on Choquetintegral operator, Priority Ordered Weighted Average operator, Bonferroni OrderedWeighted Average operator, Heronian Ordered Weighted Average operator and theDensity Ordered Weighted Average operator.The innovation of this paper is:(1)Combine classical operators which can solvemulti-attribute decision-making problems in which attributes have mutual relationships andatteibutes are valued by intuitionistic trapezoidal fuzzy number, present intuitionistictrapezoidal fuzzy Choquet integral operator, intuitionistic trapezoidal fuzzy PriorityOrdered Weighted Average operator, intuitionistic trapezoidal fuzzy GeneralizedBonferroni Ordered Weighted Average operator, intuitionistic trapezoidal fuzzygeneralized Heronian Ordered Weighted Average operator, intuitionistic trapezoidalfuzzy generalized Density Ordered Weighted Averaging operator, and study the nature ofthese operators;(2) In order to solve multi-attribute decision-making problems in whichattributes have mutual relationships and values are intuitionitic trapezoidal fuzzy numbers, this article introduces multi-attribute decision-making method based on these operators;(3)Aimed at multi-attribute decision-making problems in which attributes’ weights areunknown and attributes are valued by intuitionistic trapezoidal fuzzy numbers, this paperdetermines the weights of attributes based on Entropy method and Minimum Deviationmethod, enriches and develops multi-attribute decision-making method.