Type Ⅱ Addition and Scalar Multiplication Operators for Generalized Intuitionistic Fuzzy Numbers
Mondal and Samanta’s generalized intuitionistic fuzzy set is an extension of Atanassov’s intuitionistic fuzzy set, however, it can not be used to handle intuitionistic fuzzy multi-criteria fuzzy decision making problems, because of not only Atanassov’s addition and scalar multiplication operators can no more be used for it, but also its lack of appropriate addition and scalar multiplication operators. In this paper, for overcoming the abovementioned drawback, two novel operators, called type Ⅱ addition operator and type Ⅱ scalar multiplication operator, are proposed, moreover, it is pointed that Liu’s partial order is operation-invariant for not only Atanassov’s addition and scalar multiplication operators but also these two type Ⅱ operators, some theorems about these new operators are also proposed.
Intuitionistic fuzzy set generalized intuitionistic fuzzy set operation-invariant partial order
Hsiangchuan Liu
Department of Bioinformatics, Asia University, Taichung
国际会议
2010 Cross-Strait Conference on Information Science and Technology(2010 海峡两岸信息科学与技术学术交流会)
秦皇岛
英文
622-625
2010-07-09（万方平台首次上网日期，不代表论文的发表时间）