Multiplicative Type of Operations over Intuitionistic Fuzzy Pairs
Intuitionistic Fuzzy Sets (IFSs) are an extension of fuzzy sets. Each element x of the IFS A has degrees of a membership (\(\mu _A(x)\)) and of a non-membership (\(\nu _A(x)\)) so that \(0 \le \mu _A(x) + \nu _A(x) \le 1\). The pair \(\langle \mu _A(x), \nu _A(x) \rangle \) is called an Intuitionistic Fuzzy Pair (IFP). A lot of operations, relations and operators are defined over IFPs. In the paper, novel operations over IFPs are introduced and some of their basic properties are studied. Geometrical interpretations of these operations are given. Open problems are formulated.
KeywordsIntuitionistic fuzzy conjunction Intuitionistic fuzzy disjunction Intuitionistic fuzzy pair Multiplication Intuitionistic fuzzy negation
The first author is thankful for the support provided by the Bulgarian National Science Fund under Grant Ref. No. DFNI-I-02-5.
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