Arif BAL, Gökhan ÇUVALCIOĞLU

THE NEW SET DIFFERENCE OPERATION BETWEEN INTERVAL VALUED INTUITIONISTIC FUZZY SETS

In this paper, the new set di§erence is deÖned between interval- ued intuitionistic fuzzy sets (IVIFSs).A di§erent perspective is reduced to the formal set di§erence between IVIFSs. This new set difference between IVIFSs is introduced by using : operation. Instead of comparing this operator with all other set di§erence operations, the set difference operation which is defined by using \ is used. Some fundamentel properties which are provided and not provided on sets are examined whether satisfy or not satisfy on alpha-operation. By the help of these examinations, it is seen that alpha and beta operations have di§erent prop- erties. The new properties abaout set difference are studied.

Keywords:

Interval Valued Intuitionistic Fuzzy Sets Set Difference, Operations over Interval Valued Intuitionistic Fuzzy Sets,

PDF

___

Referans1 Atanassov K.T. “Intuitionistic Fuzzy Sets”, VII ITKR.s Session, So.a, June (1983)
Referans2 Atanassov K.T., Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988
Referans3 Atanassov K.T., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174
Referans4 Atanassov K.T., Gargov. G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349
Referans5 Atanassov K.T., “Intuitionistic Fuzzy Sets, Theory and Applications”, Physica-Verlag Heidelberg, Germany, 319 s., (1999)
Referans6 Birkhoff G., “Lattice Theory”, American Mathematical Society, United States of America, 418 s., (1940)
Referans7 Gorzalczany M., Interval-valued fuzzy inference metdod-some basic properties. Fuzzy Sets and Systems, Vol. 31, 1989, No. 2, 243-251.
Referans8 Kaufmann A., Introduction a la Theorie des Sour-Ensembles Flous, Paris, Masson, 1977.
Referans9 R. Sambuc, Functions ϕ-flous.Aplication a li’aide au diagnostic en pathologie thyrodene, These, Universite de Marseiile (1975)
Referans10 Turksen I., Interval valued fuzzy sets based normal forms. Fuzzy Sets and Systems, Vol. 20, 1986, No. 2, 191-210
Referans11 Zadeh, L. A. “Fuzzy Sets”, Information and Control, 8: 338-353, (1965)