A definition of the concept βintuitionistic fuzzy setβ (IFS) is given, the latter being a generalization of the concept βfuzzy setβ and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, def
Axiomatic theory of intuitionistic fuzzy sets
β Scribed by Mustafa Demirci
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 128 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0165-0114
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introduced the concepts of self-contradictory fuzzy set and contradictory fuzzy sets in an attempt to mark out when an inference process is not coherent. Later, contradiction was studied along the same lines in Cubillo and CastiΓ±eira (In: Proc X Conf of Information Processing and Management of Uncer
This paper proves that the concepts of intuitionistic fuzzy sets and intuitionistic L-fuzzy sets and the concept of L-fuzzy sets are equivalent.
The purpose of this communication is to demonstrate the fact that fuzzy rough sets in the sense of Nanda and Majumdar [Fuzzy Sets and Systems 45 (1992) 157] are, indeed, intuitionistic L-fuzzy sets developed by Atanassov [VII ITKR's Session; Fuzzy Sets and Systems 20 (1986) 87].