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International Journal of Neutrosophic Science
Volume 23 , Issue 1, PP: 176-192 , 2023 | Cite this article as | XML | Html |PDF

Title

Possibility neutrosophic bipolar fuzzy soft sets and their applications

  A. Priya 1 * ,   P. Maragatha Meenakshi 2 ,   Aiyared Iampan 3 ,   N. Rajesh 4 ,   Suganthi Mariyappan 5

1  Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India
    (a.priya@gackarur.ac.in)

2  Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India
    (maragathameenakship@gmail.com)

3  Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
    (aiyared.ia@up.ac.th)

4  Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)

5  Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India
    (sherin.sugan@gmail.com)

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Doi   :   https://doi.org/10.54216/IJNS.230116

Received: May 19, 2023 Revised: August 14, 2023 Accepted: November 22, 2023

Abstract :

In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process.

Keywords :

neutrosophic bipolar soft set; possibility neutrosophic bipolar soft set; decision-making problem.

References :

[1] 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(2), (2014), 729-742. 2.3

[2] M. Akram and G. Ali, Hybrid models for decision-making based on rough Pythagorean fuzzy bipolar soft information, Granular Computing, 5, (2020), 1-15. 2.3

[3] M. Akram, W. A. Dudek, and F. Ilyas, Group decision making based on Pythagorean fuzzy TOPSIS method, International Journal of Intelligent Systems, 34(7), (2019), 1455-1475. 1

[4] S. Alkhazaleh, A. R. Salleh, and N. Hassan, Possibility fuzzy soft set, Advances in Decision Sciences, 2011, (2011), Article ID 479756, 18 pages. 1, 2.5

[5] A. Al-Quran, F. Al-Sharqi, K. Ullah, M. U. Romdhini, M. Balti, and M. Alomai, Bipolar fuzzy hypersoft set and its application in decision making, International Journal of Neutrosophic Science, 20(4), (2023), 65-77. 1

[6] S. Ashraf, S. Abdullah, and T. Mahmood, Spherical fuzzy Dombi aggregation operators and their application in group decision making problems, Journal of Ambient Intelligence and Humanized Computing, 11, (2020), 2731–2749. 1

[7] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), (1986), 87-96. 1

[8] S. Broumi, S. Krishna Prabha, and V. Uluc¸ay, Interval-valued Fermatean neutrosophic shortest path problem via score function, Neutrosophic Systems with Applications, 11, (2023), 1–10. 1

[9] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali, and F. Smarandache, Complex Fermatean neutrosophic graph and application to decision making, Decision Making: Applications in Management and Engineering, 6(1), (2023), 474-501. 1

[10] B. C. Cuong and V. Kreinovich, Picture fuzzy sets - A new concept for computational intelligence problems, 2013 Third World Congress on Information and Communication Technologies (WICT 2013), Hanoi, Vietnam, (2013), 1-6. 1

[11] S. Eraslan and F. Karaaslan, A group decision making method based on TOPSIS under fuzzy soft environment, Journal of New Theory, 3, (2015), 30-40. 1

[12] P. K. Maji, R. Biswas, and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3), (2001), 589-602. 1

[13] P. K. Maji, R. Biswas, and A. R. Roy, On intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3), (2001), 677-692. 1

[14] K. Mohana and R. Jansi, Bipolar Pythagorean fuzzy sets and their application based on multi-criteria decision-making problems, International Journal of Research Advent in Technology, 6, (2018), 3754- 3764. 2.2, 2.4

[15] D. Molodtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37(4-5), (1999), 19-31. 1

[16] M. Palanikumar and S. Broumi, Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making, International Journal of Neutrosophic Science, 19(3), (2022), 63-84. 1

[17] M. Palanikumar, N. Kausar, S. F. Ahmed, S. A. Edalatpanah, and E. Ozbilge, New applications of various distance techniques to multi-criteria decision-making challenges for ranking vague sets, AIMS Mathematics, 8(5), (2023), 11397-11424. 1

[18] X. Peng, Y. Yang, J. Song, and Y. Jiang, Pythagorean fuzzy soft set and its application, Computer Engineering, 41(7), (2015), 224-229. 1

[19] F. Smarandache, A unifying field in logics, Neutrosophy neutrosophic probability, set and logic, American Research Press, Rehoboth, 1999. 1

[20] R. R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Transactions on Fuzzy Systems, 22, (2014), 958-965. 1, 2.1

[21] R. R. Yager and A. M. Abbasov, Pythagorean membership grades, complex numbers, and decision making, International Journal of Intelligent Systems, 28, (2014), 436-452. 1, 2.1

[22] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353. 1

Cite this Article as :
Style #
MLA A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan. "Possibility neutrosophic bipolar fuzzy soft sets and their applications." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2023 ,PP. 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
APA A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan. (2023). Possibility neutrosophic bipolar fuzzy soft sets and their applications. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
Chicago A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan. "Possibility neutrosophic bipolar fuzzy soft sets and their applications." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2023): 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
Harvard A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan. (2023). Possibility neutrosophic bipolar fuzzy soft sets and their applications. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
Vancouver A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan. Possibility neutrosophic bipolar fuzzy soft sets and their applications. Journal of International Journal of Neutrosophic Science, (2023); 23 ( 1 ): 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
IEEE A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan, Possibility neutrosophic bipolar fuzzy soft sets and their applications, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2023) : 176-192 (Doi   :  https://doi.org/10.54216/IJNS.230116)
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