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A Generalization of Neutrosophic Parametrized Hypersoft Sets For Decision Makers

Year 2025, Volume: 25 Issue: 1, 81 - 88

Abstract

The aim of this study is to improve the decision-making process of neutrosophic parametrized hypersoft sets in uncertain environments. In this respect, a possible error is prevented by considering the data expressed by the decision-makers together with virtual logic. The concept of virtual neutrosophic parametrized hypersoft set, which represents this situation as a single hybrid mathematical model, is proposed. In addition, a decision-making algorithm is built on these sets and its application to an uncertainty problem is exemplified. Finally, a discussion of the results obtained is presented.

References

  • Al-Shami, T.M., 2021. Bipolar soft sets: relations between them and ordinary points and their applications. Complexity, 6621854.
  • Balcı, M.A., Batrancea, L.M. and Akgüller, Ö., 2022. Network-Induced Soft Sets and Stock Market Applications. Mathematics, 10(21), 3964.
  • Dalkılıç, O., 2022. A decision-making approach to reduce the margin of error of decision makers for bipolar soft set theory. International Journal of Systems Science, 53(2), 265-274.
  • Dalkılıç, O. and Demirtaş, N., 2021. VFP-Soft Sets and Its Application on Decision Making Problems, Journal of Polytechnic, 24(4), 1391-1399.
  • Liu, J.B., Ali, S., Mahmood, M.K. and Mateen, M.H., 2022. On m-polar diophantine fuzzy N-soft set with applications. Combinatorial Chemistry and High Throughput Screening, 25(3), 536-546.
  • Martin, N., Smarandache, F. and Broumi, S., 2021. Covid-19 decision-making model using extended plithogenic hypersoft sets with dual dominant attributes. International journal of neutrosophic science, 13(2), 75-86.
  • Molodtsov, D., 1999. Soft set theory-first results, Computers & Mathematics with Applications, 37, 19-31.
  • Musa, S.Y. and Asaad, B.A., 2021. Bipolar hypersoft sets. Mathematics, 9(15), 1826.
  • Öztürk, T. Y., Aras, C. G. and Bayramov, S., 2019. A new approach to operations on neutrosophic soft sets and to neutrosophic soft topological spaces. Communications faculty of sciences University of Ankara Series A1 mathematics and Statistics, 10(3), 481-493.
  • Rahman, A.U., Saeed, M. and Dhital, A., 2021. Decision making application based on neutrosophic parameterized hypersoft set theory. Neutrosophic Sets and Systems, 41(1), 2.
  • Rahman, A.U., Saeed, M. and Khalifa, H.A.W., 2022. Decision making application based on parameterization of fuzzy hypersoft set with fuzzy setting. Italian Journal of Pure and Applied Mathematics, 48, 1033–1048.
  • Smarandache, F., 1999. A unifying field in logics. neutrosophy: Neutrosophic probability, set and logic. American Research Press.
  • Smarandache, F., 2005. Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Italian Journal of Pure and Applied Mathematics, 24, 287–297.
  • Smarandache, F., 2018. Extension of Soft Set of Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, 22, 168-170.
  • Voskoglou, M.G., 2022. A Hybrid Model for Decision Making Utilizing TFNs and Soft Sets as Tools. Equations, 2, 65-69.
  • Yolcu, A. and Özturk, T.Y., 2021. Fuzzy hypersoft sets and it’s application to decision-making. Theory and application of hypersoft set, 50-64.
  • Yolcu, A., Smarandache, F. And Öztürk, T. Y., 2021. Intuitionistic fuzzy hypersoft sets. Communications faculty of sciences University of Ankara Series A1 mathematics and Statistics, 70(1), 443-455.
  • Zadeh L.A., 1995. Fuzzy sets. Information and Control, 8, 338-353.
  • Zulqarnain, R.M., Xin, X.L., Garg, H. and Khan, W.A., 2021. Aggregation operators of pythagorean fuzzy soft sets with their application for green supplier chain management. Journal of Intelligent and Fuzzy Systems, 40(3), 5545-5563.

Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi

Year 2025, Volume: 25 Issue: 1, 81 - 88

Abstract

Bu çalışmanın amacı nötrosofik parametreli aşırı-esnek kümelerin belirsizlik ortamlarındaki karar verme sürecini geliştirmektir. Bu açıdan, karar vericilerin ifade ettiği veriler sanal mantıkla birlikte ele alınarak olası bir hatanın önüne geçilmiştir. Bu durumu tek bir hibrit matematiksel model olarak temsil eden sanal nötrosofik parametreli aşırı-esnek küme kavramı önerilmiştir. Ayrıca bu kümeler üzerine bir karar verme algoritması inşa edilerek bir belirsizlik problemi üzerine uygulaması örneklendirilmiştir. Son olarak, elde edilen sonuçlar için bir tartışma sunulmuştur.

References

  • Al-Shami, T.M., 2021. Bipolar soft sets: relations between them and ordinary points and their applications. Complexity, 6621854.
  • Balcı, M.A., Batrancea, L.M. and Akgüller, Ö., 2022. Network-Induced Soft Sets and Stock Market Applications. Mathematics, 10(21), 3964.
  • Dalkılıç, O., 2022. A decision-making approach to reduce the margin of error of decision makers for bipolar soft set theory. International Journal of Systems Science, 53(2), 265-274.
  • Dalkılıç, O. and Demirtaş, N., 2021. VFP-Soft Sets and Its Application on Decision Making Problems, Journal of Polytechnic, 24(4), 1391-1399.
  • Liu, J.B., Ali, S., Mahmood, M.K. and Mateen, M.H., 2022. On m-polar diophantine fuzzy N-soft set with applications. Combinatorial Chemistry and High Throughput Screening, 25(3), 536-546.
  • Martin, N., Smarandache, F. and Broumi, S., 2021. Covid-19 decision-making model using extended plithogenic hypersoft sets with dual dominant attributes. International journal of neutrosophic science, 13(2), 75-86.
  • Molodtsov, D., 1999. Soft set theory-first results, Computers & Mathematics with Applications, 37, 19-31.
  • Musa, S.Y. and Asaad, B.A., 2021. Bipolar hypersoft sets. Mathematics, 9(15), 1826.
  • Öztürk, T. Y., Aras, C. G. and Bayramov, S., 2019. A new approach to operations on neutrosophic soft sets and to neutrosophic soft topological spaces. Communications faculty of sciences University of Ankara Series A1 mathematics and Statistics, 10(3), 481-493.
  • Rahman, A.U., Saeed, M. and Dhital, A., 2021. Decision making application based on neutrosophic parameterized hypersoft set theory. Neutrosophic Sets and Systems, 41(1), 2.
  • Rahman, A.U., Saeed, M. and Khalifa, H.A.W., 2022. Decision making application based on parameterization of fuzzy hypersoft set with fuzzy setting. Italian Journal of Pure and Applied Mathematics, 48, 1033–1048.
  • Smarandache, F., 1999. A unifying field in logics. neutrosophy: Neutrosophic probability, set and logic. American Research Press.
  • Smarandache, F., 2005. Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Italian Journal of Pure and Applied Mathematics, 24, 287–297.
  • Smarandache, F., 2018. Extension of Soft Set of Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, 22, 168-170.
  • Voskoglou, M.G., 2022. A Hybrid Model for Decision Making Utilizing TFNs and Soft Sets as Tools. Equations, 2, 65-69.
  • Yolcu, A. and Özturk, T.Y., 2021. Fuzzy hypersoft sets and it’s application to decision-making. Theory and application of hypersoft set, 50-64.
  • Yolcu, A., Smarandache, F. And Öztürk, T. Y., 2021. Intuitionistic fuzzy hypersoft sets. Communications faculty of sciences University of Ankara Series A1 mathematics and Statistics, 70(1), 443-455.
  • Zadeh L.A., 1995. Fuzzy sets. Information and Control, 8, 338-353.
  • Zulqarnain, R.M., Xin, X.L., Garg, H. and Khan, W.A., 2021. Aggregation operators of pythagorean fuzzy soft sets with their application for green supplier chain management. Journal of Intelligent and Fuzzy Systems, 40(3), 5545-5563.
There are 19 citations in total.

Details

Primary Language Turkish
Subjects Soft Computing
Journal Section Articles
Authors

Orhan Dalkılıç 0000-0003-3875-1398

Early Pub Date January 28, 2025
Publication Date
Submission Date September 21, 2023
Published in Issue Year 2025 Volume: 25 Issue: 1

Cite

APA Dalkılıç, O. (2025). Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 25(1), 81-88.
AMA Dalkılıç O. Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. January 2025;25(1):81-88.
Chicago Dalkılıç, Orhan. “Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 25, no. 1 (January 2025): 81-88.
EndNote Dalkılıç O (January 1, 2025) Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 25 1 81–88.
IEEE O. Dalkılıç, “Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 25, no. 1, pp. 81–88, 2025.
ISNAD Dalkılıç, Orhan. “Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 25/1 (January 2025), 81-88.
JAMA Dalkılıç O. Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2025;25:81–88.
MLA Dalkılıç, Orhan. “Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 25, no. 1, 2025, pp. 81-88.
Vancouver Dalkılıç O. Nötrosofik Parametreli Aşırı-Esnek Kümelerin Karar Vericiler İçin Bir Genellemesi. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2025;25(1):81-8.