Research Article

Bipolar Fuzzy Supra Topological Spaces

Volume: 26 Number: 1 February 28, 2022
EN

Bipolar Fuzzy Supra Topological Spaces

Abstract

In the present work, we introduce bipolar fuzzy supra topological space as a generalization of fuzzy supra topological space, investigate the basic properties, give the concepts of interior and closure and encouraged them by examples and counterexamples. Moreover, we study the concepts of bipolar fuzzy supra continuity and S^* bipolar fuzzy supra continuity and see that composition of two S^* bipolar fuzzy supra continuous functions may not be a S^* bipolar fuzzy supra continuous function. Also, we attempt to define the concept of compactness on bipolar fuzzy supra topology.

Keywords

References

  1. [1] L. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965.
  2. [2] L. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” Inform. Sci., vol. 8, pp. 199–249, 1975.
  3. [3] K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy sets and Systems, vol. 20, pp. 87-96, 1986.
  4. [4] P.K Maji., R. Biswas and A. R. Roy, “Fuzzy soft sets,” J. Fuzzy Math., vol. 9, no. 3, pp. 589–602, 2001.
  5. [5] W-R. Zhang, “Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis,” NAFIPS/IFIS/NASA'94, pp. 305-309, 1994.
  6. [6] K. M. Lee, “Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolarvalued fuzzy sets,” J. Fuzzy Logic Intelligent Systems, vol. 14, pp. 125-129, 2004.
  7. [7] M. S. Anitha, K. L. Muruganantha and K. Arjunan, “Notes on bipolar valued fuzzy subgroups of a group,” The Bulletin of Society for Mathematical Services and Standards, vol. 7, pp. 40-45, 2013.
  8. [8] S. P. Subbian and M. Kamaraj, “Bipolar-valued fuzzy ideals of ring and bipolar-valued fuzzy ideal extensions in subrings,” International Journal of Mathematics Trends and Technology, vol. 61, no. 3, pp. 155-163, 2018.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 28, 2022

Submission Date

August 26, 2021

Acceptance Date

December 31, 2021

Published in Issue

Year 2022 Volume: 26 Number: 1

APA
Malkoç, H., & Pazar Varol, B. (2022). Bipolar Fuzzy Supra Topological Spaces. Sakarya University Journal of Science, 26(1), 156-168. https://doi.org/10.16984/saufenbilder.987410
AMA
1.Malkoç H, Pazar Varol B. Bipolar Fuzzy Supra Topological Spaces. SAUJS. 2022;26(1):156-168. doi:10.16984/saufenbilder.987410
Chicago
Malkoç, Hami, and Banu Pazar Varol. 2022. “Bipolar Fuzzy Supra Topological Spaces”. Sakarya University Journal of Science 26 (1): 156-68. https://doi.org/10.16984/saufenbilder.987410.
EndNote
Malkoç H, Pazar Varol B (February 1, 2022) Bipolar Fuzzy Supra Topological Spaces. Sakarya University Journal of Science 26 1 156–168.
IEEE
[1]H. Malkoç and B. Pazar Varol, “Bipolar Fuzzy Supra Topological Spaces”, SAUJS, vol. 26, no. 1, pp. 156–168, Feb. 2022, doi: 10.16984/saufenbilder.987410.
ISNAD
Malkoç, Hami - Pazar Varol, Banu. “Bipolar Fuzzy Supra Topological Spaces”. Sakarya University Journal of Science 26/1 (February 1, 2022): 156-168. https://doi.org/10.16984/saufenbilder.987410.
JAMA
1.Malkoç H, Pazar Varol B. Bipolar Fuzzy Supra Topological Spaces. SAUJS. 2022;26:156–168.
MLA
Malkoç, Hami, and Banu Pazar Varol. “Bipolar Fuzzy Supra Topological Spaces”. Sakarya University Journal of Science, vol. 26, no. 1, Feb. 2022, pp. 156-68, doi:10.16984/saufenbilder.987410.
Vancouver
1.Hami Malkoç, Banu Pazar Varol. Bipolar Fuzzy Supra Topological Spaces. SAUJS. 2022 Feb. 1;26(1):156-68. doi:10.16984/saufenbilder.987410

Cited By


INDEXING & ABSTRACTING & ARCHIVING

33418 33537  30939     30940 30943 30941  30942  33255    33253  33254

30944  30945  30946   34239




30930Bu eser Creative Commons Atıf-Ticari Olmayan 4.0 Uluslararası Lisans   kapsamında lisanslanmıştır .