A novel method for decision making based on triangular fuzzy number

Authors:
Yong Liao
Affiliations:
School of Traffic and Transportation, Southwest Jiaotong University, Chengdu, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

The aim of this paper is to explore a novel method for decision making based on triangular fuzzy number. In order to obtain the mathematical model of multi-attribute decision making (MADM) under the condition of fuzzy environment, triangular fuzzy number is introduced into MADM in this research. The entries in judgment matrix are represented by triangular fuzzy number. The final evaluation value of each alterative is achieved after normalization of judgment matrix. The degree of dominance between alternatives is defined by the way of difference of two triangular fuzzy numbers. The complementary judgment matrix expressed by crisp number is built up on degree of dominance between alternatives. The ordering vector of alternatives is figured out by using the least-square method. The order of alternatives is gained according to the value of element of the ordering vector.