Abstract—The notion of fuzzy subsets was introduced to model imprecision, ambiguity and uncertainty. Further it was generalized to intuitionistic fuzzy subsets and interval valued intuitionistic fuzzy subsets for their usefulness and applicability.In recent years, several ranking approaches based on dominance relations have been developed, in which a dominance degree and an entire dominance degree are employed in information system. Even though the theory of fuzzy sets paved a way to decision making from qualitative information, it can not be used to apply in problem with a qualitative information with lack of knowledge. So in this paper an intuitionistic fuzzy interval information system (IFIIS) is introduced and an approach of ranking from IFIIS based on the dominance degree is introduced and studied by illustrating an example.
Index Terms—Interval valued intuitionistic fuzzy sets, information system, new novel accuracy score, dominance degree.
Geetha Sivaraman is with the PI (WOS-A), DST India, Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamil Nadu, India (e-mail: geedhasivaraman@ yahoo.com).
V. Lakshmana Gomathi Nayagam is with the Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamil Nadu, India (e-mail: velulakshmanan@nitt.edu).
R. Ponalagusamy is with the Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamil Nadu, India (e-mail: rpalagu@nitt.edu).
Cite: Geetha Sivaraman, V. Lakshmana Gomathi Nayagam, and R. Ponalagusamy, "Intuitionistic Fuzzy Interval Information System," International Journal of Computer Theory and Engineering vol. 4, no. 3, pp. 459-461, 2012.
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