AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC
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Abstract:
In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove some theorems to demonstrate our goal.
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Journal title
volume 9 issue 6
pages 31- 41
publication date 2012-12-27
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