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In the last decades, there have been some extensions of fuzzy sets and their applications. Recently, type-2 fuzzy set and intuitionistic fuzzy set are two of them, drawing a great deal of scientists attention because of their widespread range of applications. In this paper, we introduce a new concept - type-2 intuitionistic fuzzy set and propose some properties of their operations. | Journal of Computer Science and Cybernetics, V.28, N.3 (2012), 274 283 SOME OPERATIONS ON TYPE-2 INTUITIONISTIC FUZZY SETS BUI CONG CUONG1 , TONG HOANG ANH, BUI DUONG HAI 1 Institute of Information Technology, Vietnam Academy of Science and Technology Tóm t t. Trong nhúng thªp ni¶n g¦n ¥y, mët sè mð rëng cõa kh¡i ni»m tªp mí ÷ñc · xu§t. Tªp mí lo¤i hai v tªp mí trüc c£m l hai kh¡i ni»m mîi ¢ thu hót ÷ñc nhi·u sü quan t¥m cõa c¡c nh nghi¶n cùu v¼ sü phong phó cõa c¡c ùng döng. B i b¡o giîi thi»u mët kh¡i ni»m mîi - tªp mí trüc c£m lo¤i hai v chùng minh mët sè t½nh ch§t tr¶n â. Abstract. In the last decades, there have been some extensions of fuzzy sets and their applications. Recently, type-2 fuzzy set and intuitionistic fuzzy set are two of them, drawing a great deal of scientists attention because of their widespread range of applications. In this paper, we introduce a new concept - type-2 intuitionistic fuzzy set and propose some properties of their operations. 1. INTRODUCTION Type-2 fuzzy sets - that is, fuzzy sets with fuzzy sets as truth values - seem destined to play an increasingly important role in applications. They were introduced by Zadeh [13], extending the notion of ordinary fuzzy sets. The Mendels book [5] on Uncertain Rule-based Fuzzy Logic Systems and other researches [6, 7, 8, 11] are discussions of both theoretical and practical aspects of type-2 fuzzy sets. In [1] Atanassov K. introduced the concept of intuitionistic fuzzy set characterized by a membership function and a non-membership function, which is a generalization of fuzzy set. In [1] Atanassov K. also defined some operators of IFSs. Recently, intuitionistic fuzzy set (IFS) theory have been applied to many different fields, such as decision making, medical diagnosis, pattern recognition. In this paper, we introduce concept of type-2 intuitionistic fuzzy sets. We define some basic operations and derive some their properties. The paper is organized as follow: Section 2 .
