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Lattice valued intuitionistic fuzzy sets

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Central European Journal of Mathematics

Abstract

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.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Ŀódź University, Ul. LS. Banacha 22, PL 90-238, Ŀódź, Poland

    Tadeusz Gerstenkorn

  2. Department of Mathematics and Informatics fac. of Sci, University ofNovi Sad, Trg. D. Obradovića 4, 21000, Novi Sad, Serbia and Montenegro

    Andreja Tepavĉević

Authors
  1. Tadeusz Gerstenkorn
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  2. Andreja Tepavĉević
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Additional information

The research supported by Serbian Ministry of Science and Technology, Grant No. 1227.

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Gerstenkorn, T., Tepavĉević, A. Lattice valued intuitionistic fuzzy sets. centr.eur.j.math. 2, 388–398 (2004). https://doi.org/10.2478/BF02475236

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  • DOI: https://doi.org/10.2478/BF02475236

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