New representations of the generalized uniform fuzzy partitions: Generalized normal case

Author(s):

Hussein Alkasasbeh *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this research, new representations of basic functions are proposed based on the new types of fuzzy partition and a subnormal generating function. The generalized uniform fuzzy partitions in subnormal case, i.e. in case a generating function K is not normal (generalized normal case), and simpler form of fuzzy transform (FzT) components based on these new representations of the generalized uniform fuzzy partitions are indicated. The main properties of a new uniform fuzzy partition are suggested. New theorems and lemmas are proved.
Keywords:

Fuzzy Partition , Fuzzy Transform , Basic Function , The Membership Functions , Generating Function , Ruspini Condition

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:16 Issue: 2, Feb 2025
Pages:
245 to 253
https://www.magiran.com/p2753443