Research Article
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Year 2023, , 1 - 10, 30.04.2023
https://doi.org/10.47087/mjm.1216101

Abstract

References

  • S. Abdullah, M. Aslam and K. Ullah, Bipolar fuzzy soft sets and its applications in decision making problem, Journal of Intelligent and Fuzzy Systems 27 (2014) 729–742.
  • K. Atanassov: Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2)(1986), 87-96.
  • K.T. Atanassov and G. Gargov, Interval- valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989) 343-349.
  • A. Aygünoglu and H. Aygün, Some notes on soft topological spaces, Neural Comput and Applic., DOI: 10.1007/s00521-011-0722-3, 2011.
  • Z. Li and R. Cui, On the topological structure of intuitonistic fuzzy soft set, Annals of Fuzzy Mathematics and Informatics, 5(1), 2013, 229-239.
  • P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • P.K. Maji, A.R. Roy and R. Biswas, On intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics 12(3) (2004) 669-683.
  • D. Molodtsov: Soft set theory-First results, Computers and Mathematics with Application, 37(4/5)(1999), 19-31.
  • Z. Pawlak, Rough sets, International Journal of Information and Computer Science 11 (1982) 341 - 356.
  • B. Pazar Varol, A. Shostak and H. Ayg¨un, Categories related to topology viewed as soft sets, Proceedings of EUSFLAT-LFA (1), 883-890, 2011.
  • B.Pazar Varol and H. Ayg¨un, Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41(3)(2012), 407-419.
  • B.Pazar Varol, A. Ayg¨unoglu and H. Ayg¨un, Neighborhood structures of fuzzy soft topological spaces, Journal of Intelligent and Fuzzy Systems, 27(4)(2014), 2127-2135.
  • S. Roy and T.K. Samanta, A note on fuzzy soft topological space, Annals of Fuzzy Mathematics and Statistics 3(2), (2012), 305-311.
  • J. L. Seok and P.L. Eun, The category of intuitonistic fuzzy topological spaces, Bull. Korean Math. Soc. 37(1) (2000), 63-76.
  • K.Serkan and M. Akdag, On intuitionistic fuzzy soft continuos mappings, Journal of New Results in Science, 4 (2014), 55-70. 1
  • K. Serkan and ˙I. Mehmet Akif, Connnectedness on intuitionistic fuzzy soft topological spaces, Journal of New Theory, 1 (2015), 02-16.
  • M. Shabir and M. Naz: On soft topological spaces, Computers and Mathematics with Applications, 61(7)(2011), 1786-1799.
  • B. Tanay and M. B. Kandemir: Topological structures of fuzzy soft sets, Computers and Mathematics with Applications, 61(10)(2011), 412-418.
  • W. Xu, J. Ma, S. Wang, G. Hao, Vague soft sets and their properties, Computers and Mathematics with Applications 59 (2010) 787-794.
  • R.R. Yager, Pythagorean fuzzy subsets. In Proceedings of the IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), Edmonton, AL, Canada, 24–28 June 2013, 57–61.
  • Y.Yin, H. Li and Y.B. Jun, On algebraic structures of intuitionistic fuzzy soft sets, Computers and Mathematics with Applications 61 (2012) 2896-2911.
  • L.A. Zadeh: Fuzzy sets, Information and Control, 8(1965), 338 - 353.
  • L.A. Zadeh: The concept of a linguistic variable and its applications to approximate reason, Information and Control, 18(1975), 199 - 249.
  • W-R. Zhang, Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis NAFIPS/IFIS/NASA’94, 1994, 305-309.
  • I. Zorlutuna, M. Akdaˇg, W.K. Min and S. Atmaca: Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2)(2012), 171-185.

Intuitionistic Fuzzy Soft Topology via Neighborhood

Year 2023, , 1 - 10, 30.04.2023
https://doi.org/10.47087/mjm.1216101

Abstract

In this paper, we bring out some properties of intuitionistic fuzzy soft topology by using the concept of neighborhood. Firstly, we introduce the concept of intuitionistic fuzzy soft point differently from the previous published papers which is related to intuitonistic fuzzy soft point and study some of its basic properties. We also generate an intuitonistic fuzzy soft topology by using the systems of neighborhood and discuss certain properties of intuitonistic fuzzy soft topology including continuous mapping.

References

  • S. Abdullah, M. Aslam and K. Ullah, Bipolar fuzzy soft sets and its applications in decision making problem, Journal of Intelligent and Fuzzy Systems 27 (2014) 729–742.
  • K. Atanassov: Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2)(1986), 87-96.
  • K.T. Atanassov and G. Gargov, Interval- valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989) 343-349.
  • A. Aygünoglu and H. Aygün, Some notes on soft topological spaces, Neural Comput and Applic., DOI: 10.1007/s00521-011-0722-3, 2011.
  • Z. Li and R. Cui, On the topological structure of intuitonistic fuzzy soft set, Annals of Fuzzy Mathematics and Informatics, 5(1), 2013, 229-239.
  • P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 589-602.
  • P.K. Maji, A.R. Roy and R. Biswas, On intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics 12(3) (2004) 669-683.
  • D. Molodtsov: Soft set theory-First results, Computers and Mathematics with Application, 37(4/5)(1999), 19-31.
  • Z. Pawlak, Rough sets, International Journal of Information and Computer Science 11 (1982) 341 - 356.
  • B. Pazar Varol, A. Shostak and H. Ayg¨un, Categories related to topology viewed as soft sets, Proceedings of EUSFLAT-LFA (1), 883-890, 2011.
  • B.Pazar Varol and H. Ayg¨un, Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41(3)(2012), 407-419.
  • B.Pazar Varol, A. Ayg¨unoglu and H. Ayg¨un, Neighborhood structures of fuzzy soft topological spaces, Journal of Intelligent and Fuzzy Systems, 27(4)(2014), 2127-2135.
  • S. Roy and T.K. Samanta, A note on fuzzy soft topological space, Annals of Fuzzy Mathematics and Statistics 3(2), (2012), 305-311.
  • J. L. Seok and P.L. Eun, The category of intuitonistic fuzzy topological spaces, Bull. Korean Math. Soc. 37(1) (2000), 63-76.
  • K.Serkan and M. Akdag, On intuitionistic fuzzy soft continuos mappings, Journal of New Results in Science, 4 (2014), 55-70. 1
  • K. Serkan and ˙I. Mehmet Akif, Connnectedness on intuitionistic fuzzy soft topological spaces, Journal of New Theory, 1 (2015), 02-16.
  • M. Shabir and M. Naz: On soft topological spaces, Computers and Mathematics with Applications, 61(7)(2011), 1786-1799.
  • B. Tanay and M. B. Kandemir: Topological structures of fuzzy soft sets, Computers and Mathematics with Applications, 61(10)(2011), 412-418.
  • W. Xu, J. Ma, S. Wang, G. Hao, Vague soft sets and their properties, Computers and Mathematics with Applications 59 (2010) 787-794.
  • R.R. Yager, Pythagorean fuzzy subsets. In Proceedings of the IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), Edmonton, AL, Canada, 24–28 June 2013, 57–61.
  • Y.Yin, H. Li and Y.B. Jun, On algebraic structures of intuitionistic fuzzy soft sets, Computers and Mathematics with Applications 61 (2012) 2896-2911.
  • L.A. Zadeh: Fuzzy sets, Information and Control, 8(1965), 338 - 353.
  • L.A. Zadeh: The concept of a linguistic variable and its applications to approximate reason, Information and Control, 18(1975), 199 - 249.
  • W-R. Zhang, Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis NAFIPS/IFIS/NASA’94, 1994, 305-309.
  • I. Zorlutuna, M. Akdaˇg, W.K. Min and S. Atmaca: Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2)(2012), 171-185.
There are 25 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Banu Pazar Varol 0000-0002-8627-7910

Publication Date April 30, 2023
Acceptance Date February 13, 2023
Published in Issue Year 2023

Cite

APA Pazar Varol, B. (2023). Intuitionistic Fuzzy Soft Topology via Neighborhood. Maltepe Journal of Mathematics, 5(1), 1-10. https://doi.org/10.47087/mjm.1216101
AMA Pazar Varol B. Intuitionistic Fuzzy Soft Topology via Neighborhood. Maltepe Journal of Mathematics. April 2023;5(1):1-10. doi:10.47087/mjm.1216101
Chicago Pazar Varol, Banu. “Intuitionistic Fuzzy Soft Topology via Neighborhood”. Maltepe Journal of Mathematics 5, no. 1 (April 2023): 1-10. https://doi.org/10.47087/mjm.1216101.
EndNote Pazar Varol B (April 1, 2023) Intuitionistic Fuzzy Soft Topology via Neighborhood. Maltepe Journal of Mathematics 5 1 1–10.
IEEE B. Pazar Varol, “Intuitionistic Fuzzy Soft Topology via Neighborhood”, Maltepe Journal of Mathematics, vol. 5, no. 1, pp. 1–10, 2023, doi: 10.47087/mjm.1216101.
ISNAD Pazar Varol, Banu. “Intuitionistic Fuzzy Soft Topology via Neighborhood”. Maltepe Journal of Mathematics 5/1 (April 2023), 1-10. https://doi.org/10.47087/mjm.1216101.
JAMA Pazar Varol B. Intuitionistic Fuzzy Soft Topology via Neighborhood. Maltepe Journal of Mathematics. 2023;5:1–10.
MLA Pazar Varol, Banu. “Intuitionistic Fuzzy Soft Topology via Neighborhood”. Maltepe Journal of Mathematics, vol. 5, no. 1, 2023, pp. 1-10, doi:10.47087/mjm.1216101.
Vancouver Pazar Varol B. Intuitionistic Fuzzy Soft Topology via Neighborhood. Maltepe Journal of Mathematics. 2023;5(1):1-10.

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