Lattice valued intuitionistic fuzzy sets

✍ Scribed by Tadeusz Gerstenkorn; Andreja Tepavĉević

• Book ID: 111487521
• Publisher: SP Versita
• Year: 2004
• Tongue: English
• Weight: 162 KB
• Volume: 2
• Category: Article
• ISSN: 1895-1074
• DOI: 10.2478/bf02475236

✦ Synopsis

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.