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

Document Type : Research Paper


1 The Hashemite Kingdom of Jordan Ministry of Education, Amman 11118, Jordan

2 Arab Open University – Jordan Branch, Faculty of Computer Studies, Amman, Jordan



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.


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Articles in Press, Corrected Proof
Available Online from 21 February 2024
  • Receive Date: 08 May 2022
  • Accept Date: 15 October 2023