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Multi- criteria decision-making methods based on intuition triangular fuzzy numbers

Author: NieRongRong
Tutor: WangJianQiang
School: Central South University
Course: Management Science and Engineering
Keywords: Intuition triangular fuzzy numbers Fuzzy MCDM Intuition triangular fuzzy judgment matrix Evidential reasoning Choquet Integral Fault Tree Analysis
CLC: C934
Type: Master's thesis
Year: 2010
Downloads: 112
Quote: 1
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Abstract


Life have a lot of fuzzy multi-criteria decision making problems in intuitionistic fuzzy multiple criteria decision making problem is a very important branch. Multi-criteria decision making based on intuitionistic fuzzy sets has been great progress, rarely based on intuitionistic fuzzy multiple criteria decision making. Intuitionistic fuzzy numbers is more convenient decision makers to express their views, so the value intuitionistic fuzzy multiple criteria decision making guidelines is important to study. In this paper, analyzed the results of previous studies based on existing intuition triangular fuzzy number theory improved with perfect the intuition triangular fuzzy, on this basis, a more in-depth study of the general problem of multi-criteria decision making, The key findings are as follows: (1) defines intuition triangular fuzzy numbers improved algorithms given score function, the precise function of intuition triangular fuzzy number and size comparison method, based on intuition triangular fuzzy numbers OWA operator (ITROWA) the nature and prove. And define intuition triangular fuzzy judgment matrix discussed meet the consistency condition constructor and two intuitive triangular fuzzy judgment matrix distance formula. And intuition triangular fuzzy judgment matrix for intuitionistic fuzzy multiple criteria decision making, preference information for intuition triangular fuzzy judgment matrix, criteria value intuition triangular fuzzy number fuzzy multi-criteria decision making model. (2) study the guideline value is missing and Guidelines interrelated intuition triangular fuzzy multi-criteria decision making problem. Guideline value is missing, the introduction of a range of trust and fuzzy evidential reasoning parsing algorithm; guidelines interrelated case, Choquet integral introduced fuzzy integral. The above two nonlinear build multi-criteria decision-making methods. (3) defines the logical operator of intuition triangular fuzzy number, given the nature and prove logical operator. Defined operator can have a very good application of the system failure analysis, improved its the original intuition triangular fuzzy logic operation in the fault tree analysis, not only to consider the importance of the position of the sort the elements, but also has a certain flexibility. The new intuition triangular fuzzy numbers the logic operator applied to the the PCBA fault tree analysis and comparative analysis with other methods, in order to illustrate the practicality and rationality of the operator mentioned.

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