[formula omitted]-fuzzy lattices: an introduction

[formula omitted]-fuzzy lattices: an introduction

The paper introduces lattice-valued fuzzy lattices. Two types of L-fuzzy lattices are defined, and their connection is observed. The first type of fuzzy lattices is obtained via fuzzification of the membership to the carrier, and the second via fuzzification of the ordering relation in a crisp latti...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 123; no. 2; pp. 209 - 216
Main Authors: Tepavčević, Andreja, Trajkovski, Goran
Format: Journal Article
Language:English
Published: Elsevier B.V 01-10-2001
Subjects:
Fuzzy algebras
Fuzzy lattices
Fuzzy relations
06B99
Fuzzy lattices
Fuzzy relations
20N25
Fuzzy algebras
04A72
Online Access:Get full text
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Summary:The paper introduces lattice-valued fuzzy lattices. Two types of L-fuzzy lattices are defined, and their connection is observed. The first type of fuzzy lattices is obtained via fuzzification of the membership to the carrier, and the second via fuzzification of the ordering relation in a crisp lattice. It is proved that the two approaches are equivalent, similarly as in the crisp lattice theory.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(00)00065-8