Lattice valued intuitionistic fuzzy sets

• Autorzy: Tadeusz Gerstenkorn , Andreja Tepavĉević
• Języki publikacji: EN

Abstrakty

EN

In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given. The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an lattice valued intuitionistic fuzzy set for which these are families of level sets.

Słowa kluczowe

EN

Intuitionistic fuzzy sets; bifuzzy sets; lattice valued intuitionistic fuzzy sets; 03E72; 03B52; 06D72

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 3
• Strony: 388-398

Daty

wydano

2004-06-01

online

2004-06-01

Twórcy

autor

Tadeusz Gerstenkorn

• Ŀódź University

autor

Andreja Tepavĉević

• University ofNovi Sad

Bibliografia

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• [2] K. Atanassov, S. Stoeva: “IntuitionisticL-fuzzy sets”,Cybernetics and Systems Research, Vol. 2, R. Trappl (ed.) Etsevier Science Publishers B.V., North-Holland, (1984), pp. 539–540.
• [3] K. Atanassov:Intuitionistic fuzzy sets, Theory and Applications, Physica-Verlag, Springer Company, Heilderberg, New York, 1999.
• [4] B. A. Davey, H.A. Priestly.Introduction to lattices and order, Cambridge University Press, 1990.
• [5] T. Gerstenkorn, J. Mańko: “Bifuzzy probabilistic sets”Fuzzy Sets and Systems,Vol.71, (1995),pp.207–214. http://dx.doi.org/10.1016/0165-0114(94)00254-5
• [6] T. Gerstenkorn, J. Mańko: “Bifuzzy probability of intuitionistic fuzzy sets”,Notes on Intuitionistic Fuzzy Sets, Vol. 4 (1998), pp. 8–14.
• [7] T. Gerstenkorn, J. Mańko: “On probability and independence in intuitionistic fuzzy set theory”,Notes on Intuitionistic Fuzzy Sets, Vol. 1, (1995), pp. 36–39.
• [8] T. Gerstenkorn, A. Tepavĉević: “Lattice valued bifuzzy sets, New Logic for the New Economy”, VIII SIGEF Congress Proceedings, ed. by G. Zollo, pp. 65–68.
• [9] B. Ŝeŝelja, A. Tepavĉević: “Representation of lattices by fuzzy sets”,Information Sciences, Vol. 79, (1993), pp. 171–180.
• [10] B. Ŝeŝelja, A. Tepavĉević, G. Vojvodić: “L-fuzzy sets and codes”,Fuzzy sets and systems, Vol. 53, (1993), pp. 217–222. http://dx.doi.org/10.1016/0165-0114(93)90175-H
• [11] B. Ŝeŝelja, A. Tepavĉević: “Completion of ordered structures by cuts of fuzzy sets, an overview”,Fuzzy Sets and Systems,Vol.136 (2003),pp.1–19. http://dx.doi.org/10.1016/S0165-0114(02)00365-2
• [12] B. Ŝeŝelja, A. Tepavĉević: “Representing ordered structures by fuzzy sets, an overview”,Fuzzy Sets and Systems,Vol.136, (2003),pp.21–39. http://dx.doi.org/10.1016/S0165-0114(02)00366-4

Identyfikatory

DOI

10.2478/BF02475236