1. On the cartesian product of intuitionistic fuzzy sets
- Creator:
- Deschrijver, Glad and Kerre, Etienne E.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- intuitionistic fuzzy set and generalized cartesian product
- Language:
- English
- Description:
- Cartesian products of intuitionistic fuzzy sets have been defined using the min-max and the product-probabilistic sum operations. In this paper we introduce and analyse the properties of a generalized cartesian product of intuitionistic fuzzy sets using a general triangular norm and conorm. In particular we investigate the emptiness, the commutativity, the distributivity, the interaction with respect to generalized unions and intersections, the distributivity with respect to the difference, the monotonicity and the cutting in terms of level-sets.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public