Some new results on intuitionistic fuzzy sets
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Intuitionistic fuzzy sets, involving membership, non-membership and hesitancyconsiderations present mathematically a very general structure. Because of theseconsiderations, it is possible to define several operations/compositions of these sets. Inthe existing literature ten different operations on such sets are defined. These tenoperations on intuitionistic fuzzy sets bear interesting properties. In this paper we haveidentified and proved several of these properties, particularly those involving theoperation A→ B defined as standard intuitionistic fuzzy implication with otheroperations.
Abstract
Intuitionistic fuzzy sets, involving membership, non-membership and hesitancyconsiderations present mathematically a very general structure. Because of theseconsiderations, it is possible to define several operations/compositions of these sets. Inthe existing literature ten different operations on such sets are defined. These tenoperations on intuitionistic fuzzy sets bear interesting properties. In this paper we haveidentified and proved several of these properties, particularly those involving theoperation A→ B defined as standard intuitionistic fuzzy implication with otheroperations.
참고문헌 (7)
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- K.T. Atanassov, "Intuitionistic Fuzzy Sets" (1999), Springer Physica-Verlag
- K.T. Atanassov, "Remarks on equalities between intuitionistic fuzzy sets", Notes on Intuitionistic Fuzzy Sets, 16(3), pp.40~41 (2010)
- Q. Liu, "On properties of some IFS operators and operations", Notes on Intuitionistic Fuzzy Sets, 14(3), pp.17~24 (2008)
- R.K. Verma, "Intuitionistic fuzzy sets: Some new results", Notes on Intuitionistic Fuzzy Sets, 17(3), pp.1~10 (2011)
- R.K. Verma, "Some new equalities connected with intuitionistic fuzzy sets", Notes on Intuitionistic Fuzzy Sets (2012)
- L.A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
