Araştırma Makalesi
Yıl 2024,
Cilt: 6 Sayı: 1, 21 - 29
Öz
Kaynakça
- 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.
Yıl 2024,
Cilt: 6 Sayı: 1, 21 - 29
Öz
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.
Anahtar Kelimeler
Soft sets Near sets Near soft sets Bipolar set Bipolar Near Soft set.
Kaynakça
- 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.
Toplam 24 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Topoloji |
| Bölüm | Makaleler |
| Yazarlar | |
| Erken Görünüm Tarihi | 9 Mayıs 2024 |
| Yayımlanma Tarihi | |
| Kabul Tarihi | 5 Şubat 2024 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 6 Sayı: 1 |