| Summary: | 碩士 === 國立高雄應用科技大學 === 工業工程與管理系碩士在職專班 === 106 === This paper considers the problem of additive intuitionistic fuzzy preference relation. Four cases are described and analyzed: additive consistent intuitionistic fuzzy preference relation, additive inconsistent intuitionistic fuzzy preference relation, collective additive consistent intuitionistic fuzzy preference relation, and collective additive inconsistent intuitionistic fuzzy preference relation. Using the least squares optimization model and goal programming optimization model, we obtain the priority vector from the problem of additive inconsistent intuitionistic fuzzy preference relation and collective additive inconsistent intuitionistic fuzzy preference relation. We also modified the additive intuitionistic fuzzy preference relation of Gong, Li, Forrest, Zhao(2011). By changing the parameters, the priority vector can be any value between 0 and 1. This result provides insights into the additive intuitionistic fuzzy preference relation for the fuzzy number ranking of the fuzzy decision problems.
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