Multi-fuzzy set similarity measures using S and T operations

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Published

23-08-2024

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.

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Issue

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

Section

SECTION B: PHYSICAL SCIENCES, PHARMACY, MATHS AND STATS

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Copyright (c) 2024 The Scientific Temper

Creative Commons License

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

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.

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.

How to Cite

P, P., Sabu Sebastian, Haseena C., Bijumon R., Shaju K., Gafoor I., & Sangeeth S. J. (2024). Multi-fuzzy set similarity measures using S and T operations. The Scientific Temper, 15(03), 2498–2501. https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.3.14

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