Research Article
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Year 2024, Volume: 6 Issue: 1, 21 - 29, 22.07.2024
https://doi.org/10.54286/ikjm.1325526

Abstract

References

  • Alcantud, J.C.R. (2020) Soft open bases and a novel construction of soft topologies from bases for topologies.Mathematics, 8: 672.
  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M. (2009) On some new operations in soft set theory. Computers and Mathematics with Applications, 57: 1547-1553.
  • Cagman, N., Karatas, S., Enginoglu, S. (2011) Soft topology. Computers andMathematics with Applications, 62: 351-358.
  • Dalkilic O. (2021) Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets. Journal of Taibah University for Science, 15: 609-618.
  • Dalkilic O. (2021) A novel approach to soft set theory in decision-making under uncertainty. International Journal of ComputerMathematics, 98: 1935-1945.
  • Dalkilic O. (2022) Two novel approaches that reduce the effectiveness of the decision maker in decision making under uncertainty environments. Iranian Journal of Fuzzy Systems, 19: 105-117.
  • Dalkilic O. (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. International Journal of ComputerMathematics, 99: 1428-1437.
  • Dalkilic O. (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. International Journal of Computer Mathematics, 99: 1428-1437.
  • Feng, F., Li, C., Davvaz, B., Ali, M.I. (2010) Soft sets combined with fuzzy sets and rough sets. Soft Computing, 14: 899-911.
  • Karaaslan, F., Karatas, S. (2015) A new approach to bipolar soft sets and its applications. Discrete Mathematics, Algorithms and Applications, 7: 1550054.
  • Mahmood, T. (2020) A novel approach towards bipolar soft sets and their applications. Journal ofMathematics, 1-11.
  • Maji, P.K., Biswas, R., Roy, A.R. (2003) Soft set theory. Computers and Mathematics with Applications, 45: 555-562.
  • Matejdes,M. (2021)Methodological remarks on soft topology. Soft computing, 25: 4149-4156.
  • Molodtsov, D. (1999) Soft set theory-first results. Computers and Mathematics with Applications, 37: 19-31.
  • Muhammad, S., Naz,M. (2011) On soft topological spaces. Computers andMathematics with Applications, 61: 1786-1799.
  • Ozturk, T.Y. (2020) ON BIPOLAR SOFT POINTS. TWMS Journal of Applied and EngineeringMathematics, 10(4): 877.
  • Pawlak, Z. (1982) Rough Sets. Int. J. of Inf. and Comp. Sci., 11: 341-356.
  • Peters, J.F. (2007) Near sets: Special theory about nearness of objects. Fundamenta Informaticae, 75: 407-433.
  • Peters, J.F. (2007) Near sets: General theory about nearness of objects. AppliedMathematical Sciences, 1: 2609-2629.
  • Shabir,M., Naz,M. (2013) On bipolar soft sets. arXiv:1303.1344.
  • Shami, A., Tareq, M. (2021) Bipolar soft sets: relations between them and ordinary points and their applications. Complexity, 2021.
  • Tasbozan, H., Icen, I., Bagirmaz, N., Ozcan, A.F. (2017) Soft Sets and Soft Topology on Nearness approximation spaces. Filomat, 31: 4117-4125.
  • Tasbozan, H. (2020) Near Soft Connectedness. Afyon Kocatepe University Journal of Science and Engineering, 20: 815-818.
  • Tasbozan, H., Bagirmaz, N. (2021) Near Soft Continuous and Near Soft JP-Continuous Functions. Electronic Journal ofMathematical Analysis and Applications, 9: 166-171.

Application of Bipolar Near Soft Sets

Year 2024, Volume: 6 Issue: 1, 21 - 29, 22.07.2024
https://doi.org/10.54286/ikjm.1325526

Abstract

The bipolar soft set is supplied with two soft sets, one positive and the other negative. Whichever feature is stronger can be selected to find the object we want. In this paper, the notion of bipolar near soft set, which near set features are added to a bipolar soft set, and its fundamental properties are introduced. In this new set, its features can be restricted and the basic properties and topology of the set can be examined accordingly. With the soft set close to bipolar, it will be easier for us to decide to find the most suitable object in the set of objects. This new idea is illustrated with real-life examples. With the help of the bipolar near soft set, we make it easy to choose the one closest to the criteria we want in decision making. Among the many given objects, we can find the one with the properties we want by using the ones with similar properties.

References

  • Alcantud, J.C.R. (2020) Soft open bases and a novel construction of soft topologies from bases for topologies.Mathematics, 8: 672.
  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M. (2009) On some new operations in soft set theory. Computers and Mathematics with Applications, 57: 1547-1553.
  • Cagman, N., Karatas, S., Enginoglu, S. (2011) Soft topology. Computers andMathematics with Applications, 62: 351-358.
  • Dalkilic O. (2021) Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets. Journal of Taibah University for Science, 15: 609-618.
  • Dalkilic O. (2021) A novel approach to soft set theory in decision-making under uncertainty. International Journal of ComputerMathematics, 98: 1935-1945.
  • Dalkilic O. (2022) Two novel approaches that reduce the effectiveness of the decision maker in decision making under uncertainty environments. Iranian Journal of Fuzzy Systems, 19: 105-117.
  • Dalkilic O. (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. International Journal of ComputerMathematics, 99: 1428-1437.
  • Dalkilic O. (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. International Journal of Computer Mathematics, 99: 1428-1437.
  • Feng, F., Li, C., Davvaz, B., Ali, M.I. (2010) Soft sets combined with fuzzy sets and rough sets. Soft Computing, 14: 899-911.
  • Karaaslan, F., Karatas, S. (2015) A new approach to bipolar soft sets and its applications. Discrete Mathematics, Algorithms and Applications, 7: 1550054.
  • Mahmood, T. (2020) A novel approach towards bipolar soft sets and their applications. Journal ofMathematics, 1-11.
  • Maji, P.K., Biswas, R., Roy, A.R. (2003) Soft set theory. Computers and Mathematics with Applications, 45: 555-562.
  • Matejdes,M. (2021)Methodological remarks on soft topology. Soft computing, 25: 4149-4156.
  • Molodtsov, D. (1999) Soft set theory-first results. Computers and Mathematics with Applications, 37: 19-31.
  • Muhammad, S., Naz,M. (2011) On soft topological spaces. Computers andMathematics with Applications, 61: 1786-1799.
  • Ozturk, T.Y. (2020) ON BIPOLAR SOFT POINTS. TWMS Journal of Applied and EngineeringMathematics, 10(4): 877.
  • Pawlak, Z. (1982) Rough Sets. Int. J. of Inf. and Comp. Sci., 11: 341-356.
  • Peters, J.F. (2007) Near sets: Special theory about nearness of objects. Fundamenta Informaticae, 75: 407-433.
  • Peters, J.F. (2007) Near sets: General theory about nearness of objects. AppliedMathematical Sciences, 1: 2609-2629.
  • Shabir,M., Naz,M. (2013) On bipolar soft sets. arXiv:1303.1344.
  • Shami, A., Tareq, M. (2021) Bipolar soft sets: relations between them and ordinary points and their applications. Complexity, 2021.
  • Tasbozan, H., Icen, I., Bagirmaz, N., Ozcan, A.F. (2017) Soft Sets and Soft Topology on Nearness approximation spaces. Filomat, 31: 4117-4125.
  • Tasbozan, H. (2020) Near Soft Connectedness. Afyon Kocatepe University Journal of Science and Engineering, 20: 815-818.
  • Tasbozan, H., Bagirmaz, N. (2021) Near Soft Continuous and Near Soft JP-Continuous Functions. Electronic Journal ofMathematical Analysis and Applications, 9: 166-171.
There are 24 citations in total.

Details

Primary Language English
Subjects Topology
Journal Section Articles
Authors

Hatice Taşbozan 0000-0002-6850-8658

Early Pub Date May 9, 2024
Publication Date July 22, 2024
Acceptance Date February 5, 2024
Published in Issue Year 2024 Volume: 6 Issue: 1

Cite

APA Taşbozan, H. (2024). Application of Bipolar Near Soft Sets. Ikonion Journal of Mathematics, 6(1), 21-29. https://doi.org/10.54286/ikjm.1325526
AMA Taşbozan H. Application of Bipolar Near Soft Sets. ikjm. July 2024;6(1):21-29. doi:10.54286/ikjm.1325526
Chicago Taşbozan, Hatice. “Application of Bipolar Near Soft Sets”. Ikonion Journal of Mathematics 6, no. 1 (July 2024): 21-29. https://doi.org/10.54286/ikjm.1325526.
EndNote Taşbozan H (July 1, 2024) Application of Bipolar Near Soft Sets. Ikonion Journal of Mathematics 6 1 21–29.
IEEE H. Taşbozan, “Application of Bipolar Near Soft Sets”, ikjm, vol. 6, no. 1, pp. 21–29, 2024, doi: 10.54286/ikjm.1325526.
ISNAD Taşbozan, Hatice. “Application of Bipolar Near Soft Sets”. Ikonion Journal of Mathematics 6/1 (July 2024), 21-29. https://doi.org/10.54286/ikjm.1325526.
JAMA Taşbozan H. Application of Bipolar Near Soft Sets. ikjm. 2024;6:21–29.
MLA Taşbozan, Hatice. “Application of Bipolar Near Soft Sets”. Ikonion Journal of Mathematics, vol. 6, no. 1, 2024, pp. 21-29, doi:10.54286/ikjm.1325526.
Vancouver Taşbozan H. Application of Bipolar Near Soft Sets. ikjm. 2024;6(1):21-9.