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Fuzzy ideals and congruences of lattices

โœ Scribed by U.M. Swamy; D.Viswanadha Raju

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
317 KB
Volume
95
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

General theory of algebraic fuzzy systems developed earlier by the authors is applied to extend the Stone's prime ideal theorem to fuzzy ideals of distributive lattices. A correspondence between fuzzy ideals and fuzzy congruences in a distributive lattice is obtained and certain important properties of these are discussed.

๐Ÿ“œ SIMILAR VOLUMES

The lattices of fuzzy ideals of a ring
The lattices of fuzzy ideals of a ring
โœ Naseem Ajmal; K.V. Thomas ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB
Q-convergence of ideals in fuzzy lattice
Q-convergence of ideals in fuzzy lattices and its applications
โœ Shi-Zhong Bai ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 461 KB

In this paper, we study Q-convergence and Q\*-convergence of ideals in fuzzy lattices by the concept of Q-remoteneighborhood. Then we introduce the strong S-irresoluteness, S\*-irresoluteness and S\*-strong semicontinuity on fuzzy lattices. We also study some properties of the notions above and stro