Abstract
In the present paper we construct a new intuitionistic fuzzy implication, giving intuitionistic fuzzy form to Goguen’s implication. Some of its basic properties are studied and illustrated with examples. Geometrical interpretations of the different forms of the new implication are given. Other forms of the Goguen’s implication are discussed.
Highlights
Its name is related to the following fuzzy implication (see, e.g., [1]):
Let us define for the Intuitionistic Fuzzy Pairs (IFPs) x and y: h a, bi → hc, di = sg( a − c) + sg( a − c)
We shall show that the definition of the new implication is correct
Summary
Its name is related to the following fuzzy implication (see, e.g., [1]): For the first time, an intuitionistic fuzzy form of the Goguen’s implication will be introduced. Except for the authors, intuitionistic fuzzy implications have been researched in details by L.
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