Multi-fuzzy set similarity measures using S and T operations

Authors

  • Priyanka P Department of Mathematics, Mahatma Gandhi College, Iritty, Kerala, India.
  • Sabu Sebastian Department of Mathematics, Nirmalagiri College, Kuthuparamba, Kerala, India.
  • Haseena C. Department of Mathematics, Mahatma Gandhi College, Iritty, Kerala, India.
  • Bijumon R. Department of Mathematics, Mahatma Gandhi College, Iritty, Kerala, India.
  • Shaju K. Department of Mathematics, NAM College, Kallikkandy, Kerala, India.
  • Gafoor I. Department of Mathematics, NAM College, Kallikkandy, Kerala, India.
  • Sangeeth S. J. Department of Mathematical Sciences, Kannur University, Mangattuparamba, Kerala, India.

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.3.14

Keywords:

Multi-fuzzy sets, Weighted multi-fuzzy sets, Similarity measure, T- operation, S- operation, Semi-quasi similarity measure.

Abstract

This paper introduces some similarity measures on multi-fuzzy set, enhancing multi-fuzzy set analysis through a weighting mechanism using S and T operations. Using a fuzzy matrix, we define a weighted relation, summarizing the characteristics of multi-fuzzy set M in relation to a weighted column matrix A. The relation A≤is established by comparing membership grades and weighted elements, expressing similarity or dissimilarity within elements of X.

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Published

23-08-2024

Issue

Vol. 15 No. 03 (2024): The Scientific Temper

Section

SECTION B: PHYSICAL SCIENCES, PHARMACY, MATHS AND STATS

License

Copyright (c) 2024 The Scientific Temper

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Multi-fuzzy set similarity measures using S and T operations. (2024). The Scientific Temper, 15(03), 2498-2501. https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.3.14

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