The invention of new sequences through classifying and counting fuzzy matrices

S. R. Kannan, Rajesh Kumar Mohapatra, Tzung Pei Hong

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The novelty of this paper is to construct several explicit formulas for the number of distinct fuzzy matrices of a finite order which leads us to invent new integer sequences and helps to develop fuzzy subgroups of some finite groups of matrices. In order to achieve the sequences, we analyze the behavioral study of a natural equivalence relation on the set of all fuzzy matrices of a given order. In addition, this paper derives some important relevant results by enumerating non-equivalent class of fuzzy matrices. We achieve these results by incorporating the notion of k-level fuzzy matrices, α-cuts and chains.

Original languageEnglish
Pages (from-to)9663-9676
Number of pages14
JournalSoft Computing
Issue number15
StatePublished - 1 Aug 2021
Externally publishedYes


  • Binomial numbers
  • Chains of crisp matrices
  • Flags
  • Fuzzy matrices
  • k-level fuzzy matrices
  • α-cuts

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • Geometry and Topology


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