Research Article

A Picture Fuzzy Based Approach Using Proximal Relator Spaces

Volume: 17 Number: 1 June 30, 2025
EN

A Picture Fuzzy Based Approach Using Proximal Relator Spaces

Abstract

Picture fuzzy sets are extensions of the fuzzy sets and the intuitonistic fuzzy sets which consist of membership, a neutral membership and a non-membership degrees. In this paper, we define the picture fuzzy proximity relations which are extension of picture fuzzy sets and fuzzy proximity relations, and give some examples. Also, we give the definition of picture fuzzy spatial and descriptive Lodato proximity space.

Keywords

References

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  3. Cuong, B.C., Kreinovich, V., Picture fuzzy sets-a new concept for computational intelligence problems. Third World Congress on Information and Communication Technologies. IEEE, 2013, 1-6.
  4. Cuong, B.C., Picture fuzzy sets, J. Comput. Sci. Cybern., 30(4)(2015), 409–420.
  5. Efremovic, V.A, The geometry of proximity, Mat. Sb. N.S., 31(73)(1952), 189–200 .
  6. Kumar, S., Arya, V., Kumar, S., Dahiya, A., A new picture fuzzy entropy and its application based on combined picture fuzzy methodology with partial weight information Int. J. Fuzzy Syst. 24(2022), 3208–3225 .
  7. Li, L., Chen, Z., Jiang, X., A hybrid picture fuzzy similarity measure and improved VIKOR method, Int J Comput Intell Syst, 15(2022), 113.
  8. Lodato, M.W., On topologically induced generalized proximity relations I Proc. Amer. Math. Soc., 15(3)(1964), 417–422 .

Details

Primary Language

English

Subjects

Algebra and Number Theory, Pure Mathematics (Other)

Journal Section

Research Article

Publication Date

June 30, 2025

Submission Date

November 5, 2024

Acceptance Date

June 12, 2025

Published in Issue

Year 2025 Volume: 17 Number: 1

APA
Tekin, Ö. (2025). A Picture Fuzzy Based Approach Using Proximal Relator Spaces. Turkish Journal of Mathematics and Computer Science, 17(1), 232-242. https://doi.org/10.47000/tjmcs.1579906
AMA
1.Tekin Ö. A Picture Fuzzy Based Approach Using Proximal Relator Spaces. TJMCS. 2025;17(1):232-242. doi:10.47000/tjmcs.1579906
Chicago
Tekin, Özlem. 2025. “A Picture Fuzzy Based Approach Using Proximal Relator Spaces”. Turkish Journal of Mathematics and Computer Science 17 (1): 232-42. https://doi.org/10.47000/tjmcs.1579906.
EndNote
Tekin Ö (June 1, 2025) A Picture Fuzzy Based Approach Using Proximal Relator Spaces. Turkish Journal of Mathematics and Computer Science 17 1 232–242.
IEEE
[1]Ö. Tekin, “A Picture Fuzzy Based Approach Using Proximal Relator Spaces”, TJMCS, vol. 17, no. 1, pp. 232–242, June 2025, doi: 10.47000/tjmcs.1579906.
ISNAD
Tekin, Özlem. “A Picture Fuzzy Based Approach Using Proximal Relator Spaces”. Turkish Journal of Mathematics and Computer Science 17/1 (June 1, 2025): 232-242. https://doi.org/10.47000/tjmcs.1579906.
JAMA
1.Tekin Ö. A Picture Fuzzy Based Approach Using Proximal Relator Spaces. TJMCS. 2025;17:232–242.
MLA
Tekin, Özlem. “A Picture Fuzzy Based Approach Using Proximal Relator Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 1, June 2025, pp. 232-4, doi:10.47000/tjmcs.1579906.
Vancouver
1.Özlem Tekin. A Picture Fuzzy Based Approach Using Proximal Relator Spaces. TJMCS. 2025 Jun. 1;17(1):232-4. doi:10.47000/tjmcs.1579906