Fuzzy Sets and Systems
More on intuitionistic fuzzy sets
Fuzzy Sets and Systems
New operations defined over the intuitionistic fuzzy sets
Fuzzy Sets and Systems
Rough sets and Nelson algebras
Fundamenta Informaticae - Special issue: rough sets
Incomplete Information: Rough Set Analysis
Incomplete Information: Rough Set Analysis
Shadowed sets and related algebraic structures
Fundamenta Informaticae
Brouwer-Zadeh posets and three-valued Ł ukasiewicz posets
Fuzzy Sets and Systems
Discussion: Some notes on (Atanassov's) intuitionistic fuzzy sets
Fuzzy Sets and Systems
Algebraic structures for rough sets
Transactions on Rough Sets II
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the relevance of some families of fuzzy sets
Fuzzy Sets and Systems
Atanassov's Intuitionistic Fuzzy Sets as a Classification Model
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators
Information Sciences: an International Journal
A Survey on the Algebras of the So---Called Intuitionistic Fuzzy Sets (IFS)
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Algebraic models of deviant modal operators based on de Morgan and Kleene lattices
Information Sciences: an International Journal
Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
Fuzzy Sets and Systems
Information Sciences: an International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this paper we contribute to the terminological debate about Atanassov's use of the term ''Intuitionistic'' in defining his structure based on ortho-pairs of fuzzy sets. In particular, we stress that it is defined as ''intuitionistic'' a negation which from one side does not satisfy a standard property of the intuitionistic Brouwer negation (contradiction law) and on the contrary asserts some principles rejected by intuitionism (strong double negation law and one of the de Morgan laws). An algebraic Brouwer negation is studied in the context of IFS showing that it can be induced from a Heyting implication. A similar situation occurs in the case of standard fuzzy sets (FS). Some conditions which allow one to distinguish from the algebraic point of view FS from IFS are treated. Finally, a particular subclass of IFS consisting of ortho-pairs of crisp sets (denoted by ICS) is studied, showing that shadowed sets can be algebraically identified with ICSs.