TAILIEUCHUNG - Max - min composition of linguistic intuitionistic fuzzy relations and application in medical diagnosis
In this paper, we first introduce the notion of linguistic intuitionistic fuzzy relation. This notion is useful in situations when each correspondence of objects is presented as two labels such that the first expresses the degree of membership, and the second expresses the degree of non-membership as in the intuitionistic fuzzy theory. | VNU Journal of Science: Comp. Science & Com. Eng., Vol. 30, No. 4 (2014) 57-65 Max - Min Composition of Linguistic Intuitionistic Fuzzy Relations and Application in Medical Diagnosis1 Bui Cong Cuong1, Pham Hong Phong2 1 2 Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam Faculty of Information Technology, National University of Civil Engineering, Vietnam Abstract In this paper, we first introduce the notion of linguistic intuitionistic fuzzy relation. This notion is useful in situations when each correspondence of objects is presented as two labels such that the first expresses the degree of membership, and the second expresses the degree of non-membership as in the intuitionistic fuzzy theory. Sanchez's approach for medical diagnosis is extended using the linguistic intuitionistic fuzzy relation. © 2014 Published by VNU Journal of Science. Manuscript communication: received 10 December 2013, revised 09 September 2014; accepted 19 September 2014 Corresponding author: Bui Cong Cuong, bccuong@ Keywords: Fuzzy set, Intuitionistic fuzzy set, Fuzzy relation, Intuitionistic fuzzy relation, Linguistic aggregation operator, Max - min composition, Medical diagnosis. 1. Introduction* The correspondences between objects can be suitably described as relations. A traditional crisp relation represents the satisfaction or the dissatisfaction of relationship, connection or correspondence between the objects of two or more sets. This concept can be extended to allow for various degrees or strengths of relationship or connection between objects. Degrees of relationship can be represented by membership grades in a fuzzy relation [1] in the same way as degrees of membership are represented in the fuzzy set [2]. However, there is a hesitancy or a doubtfulness about the grades assigned to the relationships between objects. In fuzzy set theory, there is no mean to _ 1 This research is funded by Vietnam National Foundation for Science and .
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