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Year 2022, Volume: 35 Issue: 2, 644 - 657, 01.06.2022
https://doi.org/10.35378/gujs.828316

Abstract

References

  • [1] Zadeh, L. A., “Fuzzy sets”, Information & Control, 8: 338-353, (1965).
  • [2] Pawlak, Z., “Rough sets”, International Journal of Computing & Information Sciences, 11: 341-356, (1982).
  • [3] Atanassov, K., “Intuitionistic fuzzy sets”, Fuzzy Sets & System, 20: 87-96, (1986).
  • [4] Molodtsov, D., “Soft set theory first results”, Computers and Mathematics with Applications, 37: 19-31, (1999).
  • [5] Maji, P. K., Biswas, R., Roy, A. R., “Soft set theory”, Computers and Mathematics with Applications, 45(4-5): 555-562, (2003).
  • [6] Demirtaş, N., Hussaın, S., Dalkılıç, O., “New approaches of inverse soft rough sets and their applications in a decision making problem”, Journal of Applied Mathematics and Informatics, 38(3-4): 335-349, (2020).
  • [7] Demirtaş, N., Dalkılıç, O., “An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets”, on Mathematics and Mathematics Education (ICMME 2019), Konya, 283, (2019).
  • [8] Dalkılıç, O., Demirtas, N., “VFP-soft sets and its application on decision making problems”, Journal of Polytechnic, (2021). DOI: https://doi.org/10.2339/politeknik.685634
  • [9] Dalkılıç, O., “An application of VFPFSS’s in decision making problems”, Journal of Polytechnic, (2021). DOI: https://doi.org/10.2339/politeknik.758474
  • [10] Dalkılıç, O., Demirtaş, N., “Bipolar soft filter”, Journal of Universal Mathematics, 3(1): 21-27, (2020).
  • [11] Demirtaş, N., Dalkılıç, O., “Decompositions of soft α-continuity and soft A-continuity”, Journal of New Theory, (31): 86-94, (2020).
  • [12] Çağman, N., Enginoğlu, S., “Soft set theory and uni-int decision making”, European Journal of Operational Research, 207: 848-855, (2010).
  • [13] Qin, K., Hong, Z., “On soft equality”, Journal of Computational and Applied Mathematics, 234: 1347-1355, (2010).
  • [14] Majumdar, P., Samanta, S. K., “Similarity measure of soft sets”, New Mathematics and Natural Computation, 4(1): 1-12, (2008).
  • [15] Alkhazaleh, S., Salleh, A. R., “Soft expert sets”, Advances in Decision Sciences, Article ID757868, (2011).
  • [16] Alkhazaleh, S., Salleh, A. R., “Fuzzy soft expert set and its application”, Applied Mathematics, 5: 1349-1368, (2014).
  • [17] Enginoğlu, S., Dönmez, H., “On soft expert sets”, Journal of New Theory, 9: 69-81, (2015).
  • [18] Çağman, N., Enginoğlu, S., “FP-soft set theory and its applications”, Annals of Fuzzy Mathematics and informatics, 2(2): 219-226, (2011).
  • [19] Çağman, N., Enginoğlu, S., Çıtak, F., “Fuzzy soft set theory and its applications”, Iranian Journal of Fuzzy Systems, 8(3): 137–147, (2011).
  • [20] Çağman, N., Karataş, S., “Intuitionistic fuzzy soft set theory and its decision making”, Journal of Intelligent and Fuzzy Systems, 24(4): 829–836, (2013).
  • [21] Jiang, Y., Tang, Y., Chen, Q., Liu, H., Tang, J., “Interval-valued intuitionistic fuzzy soft sets and their properties”, Computers and Mathematics with Applications, 60: 906–918, (2010).
  • [22] Jiang, Y., Tang, Y., Chen, Q., “An adjustable approach to intuitionistic fuzzy soft sets based decision making”, Applied Mathematical Modelling, 35: 824-836, (2011).
  • [23] Maji, P. K., Biswas, R., Roy, A. R., “Fuzzy soft sets”, Journal of Fuzzy Mathematics, 9(3): 589-602, (2001).
  • [24] Yang, X., Lin, T. Y., Yang, J., Li, Y., Yu, D., “Combination of intervalvalued fuzzy set and soft set”, Computers and Mathematics with Applications, 58: 521-527, (2009).
  • [25] Kamacı, H. “Interval-valued fuzzy parameterized intuitionistic fuzzy soft sets and their applications”, Cumhuriyet Science Journal, 40(2): 317-331, (2019).
  • [26] Ali, G., Akram, M., “Decision-making method based on fuzzy N-soft expert eets”, Arabian Journal for Science and Engineering, 45(12): 10381-10400, (2020).
  • [27] Shabir, M., Naz, M., “On bipolar soft sets”, arXiv: 1303.1344v1 [math.LO], (2013).
  • [28] Karaaslan, F., Çağman, N., “Bipolar soft rough sets and their applications in decision making”, Afrika Matematika, 29(5): 823-839, (2018).
  • [29] Karaaslan, F., “Bipolar soft rough relations”, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(1): 105-126, (2016).
  • [30] Karaaslan, F., Karataş, S., “A new approach to bipolar soft sets and its applications”, Discrete Mathematics, Algorithms and Applications, 7(4): 1550054, (2015).
  • [31] Karaaslan, F., Ahmad, I., Ullah, A., “Bipolar soft groups”, Journal of Intelligent and Fuzzy Systems, 31(1): 651-662, (2016).

Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making

Year 2022, Volume: 35 Issue: 2, 644 - 657, 01.06.2022
https://doi.org/10.35378/gujs.828316

Abstract

In this paper, we propose a novel concept of the bipolar soft expert set by combining the soft expert set and the bipolar soft set. Then, we define its basic operations such as complement, union, intersection, AND and OR for bipolar soft expert sets with illustrative examples. Then, using this set theory, an algorithm is proposed to express an uncertainty problem in the best way. Finally, we exemplify an uncertainty problem on how the proposed algorithm can be applied against uncertain situations that may be encountered in any field and we give its implementation in detail.

References

  • [1] Zadeh, L. A., “Fuzzy sets”, Information & Control, 8: 338-353, (1965).
  • [2] Pawlak, Z., “Rough sets”, International Journal of Computing & Information Sciences, 11: 341-356, (1982).
  • [3] Atanassov, K., “Intuitionistic fuzzy sets”, Fuzzy Sets & System, 20: 87-96, (1986).
  • [4] Molodtsov, D., “Soft set theory first results”, Computers and Mathematics with Applications, 37: 19-31, (1999).
  • [5] Maji, P. K., Biswas, R., Roy, A. R., “Soft set theory”, Computers and Mathematics with Applications, 45(4-5): 555-562, (2003).
  • [6] Demirtaş, N., Hussaın, S., Dalkılıç, O., “New approaches of inverse soft rough sets and their applications in a decision making problem”, Journal of Applied Mathematics and Informatics, 38(3-4): 335-349, (2020).
  • [7] Demirtaş, N., Dalkılıç, O., “An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets”, on Mathematics and Mathematics Education (ICMME 2019), Konya, 283, (2019).
  • [8] Dalkılıç, O., Demirtas, N., “VFP-soft sets and its application on decision making problems”, Journal of Polytechnic, (2021). DOI: https://doi.org/10.2339/politeknik.685634
  • [9] Dalkılıç, O., “An application of VFPFSS’s in decision making problems”, Journal of Polytechnic, (2021). DOI: https://doi.org/10.2339/politeknik.758474
  • [10] Dalkılıç, O., Demirtaş, N., “Bipolar soft filter”, Journal of Universal Mathematics, 3(1): 21-27, (2020).
  • [11] Demirtaş, N., Dalkılıç, O., “Decompositions of soft α-continuity and soft A-continuity”, Journal of New Theory, (31): 86-94, (2020).
  • [12] Çağman, N., Enginoğlu, S., “Soft set theory and uni-int decision making”, European Journal of Operational Research, 207: 848-855, (2010).
  • [13] Qin, K., Hong, Z., “On soft equality”, Journal of Computational and Applied Mathematics, 234: 1347-1355, (2010).
  • [14] Majumdar, P., Samanta, S. K., “Similarity measure of soft sets”, New Mathematics and Natural Computation, 4(1): 1-12, (2008).
  • [15] Alkhazaleh, S., Salleh, A. R., “Soft expert sets”, Advances in Decision Sciences, Article ID757868, (2011).
  • [16] Alkhazaleh, S., Salleh, A. R., “Fuzzy soft expert set and its application”, Applied Mathematics, 5: 1349-1368, (2014).
  • [17] Enginoğlu, S., Dönmez, H., “On soft expert sets”, Journal of New Theory, 9: 69-81, (2015).
  • [18] Çağman, N., Enginoğlu, S., “FP-soft set theory and its applications”, Annals of Fuzzy Mathematics and informatics, 2(2): 219-226, (2011).
  • [19] Çağman, N., Enginoğlu, S., Çıtak, F., “Fuzzy soft set theory and its applications”, Iranian Journal of Fuzzy Systems, 8(3): 137–147, (2011).
  • [20] Çağman, N., Karataş, S., “Intuitionistic fuzzy soft set theory and its decision making”, Journal of Intelligent and Fuzzy Systems, 24(4): 829–836, (2013).
  • [21] Jiang, Y., Tang, Y., Chen, Q., Liu, H., Tang, J., “Interval-valued intuitionistic fuzzy soft sets and their properties”, Computers and Mathematics with Applications, 60: 906–918, (2010).
  • [22] Jiang, Y., Tang, Y., Chen, Q., “An adjustable approach to intuitionistic fuzzy soft sets based decision making”, Applied Mathematical Modelling, 35: 824-836, (2011).
  • [23] Maji, P. K., Biswas, R., Roy, A. R., “Fuzzy soft sets”, Journal of Fuzzy Mathematics, 9(3): 589-602, (2001).
  • [24] Yang, X., Lin, T. Y., Yang, J., Li, Y., Yu, D., “Combination of intervalvalued fuzzy set and soft set”, Computers and Mathematics with Applications, 58: 521-527, (2009).
  • [25] Kamacı, H. “Interval-valued fuzzy parameterized intuitionistic fuzzy soft sets and their applications”, Cumhuriyet Science Journal, 40(2): 317-331, (2019).
  • [26] Ali, G., Akram, M., “Decision-making method based on fuzzy N-soft expert eets”, Arabian Journal for Science and Engineering, 45(12): 10381-10400, (2020).
  • [27] Shabir, M., Naz, M., “On bipolar soft sets”, arXiv: 1303.1344v1 [math.LO], (2013).
  • [28] Karaaslan, F., Çağman, N., “Bipolar soft rough sets and their applications in decision making”, Afrika Matematika, 29(5): 823-839, (2018).
  • [29] Karaaslan, F., “Bipolar soft rough relations”, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(1): 105-126, (2016).
  • [30] Karaaslan, F., Karataş, S., “A new approach to bipolar soft sets and its applications”, Discrete Mathematics, Algorithms and Applications, 7(4): 1550054, (2015).
  • [31] Karaaslan, F., Ahmad, I., Ullah, A., “Bipolar soft groups”, Journal of Intelligent and Fuzzy Systems, 31(1): 651-662, (2016).
There are 31 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Orhan Dalkılıç 0000-0003-3875-1398

Naime Demirtaş 0000-0003-4137-4810

Publication Date June 1, 2022
Published in Issue Year 2022 Volume: 35 Issue: 2

Cite

APA Dalkılıç, O., & Demirtaş, N. (2022). Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making. Gazi University Journal of Science, 35(2), 644-657. https://doi.org/10.35378/gujs.828316
AMA Dalkılıç O, Demirtaş N. Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making. Gazi University Journal of Science. June 2022;35(2):644-657. doi:10.35378/gujs.828316
Chicago Dalkılıç, Orhan, and Naime Demirtaş. “Combination of the Bipolar Soft Set and Soft Expert Set With an Application in Decision Making”. Gazi University Journal of Science 35, no. 2 (June 2022): 644-57. https://doi.org/10.35378/gujs.828316.
EndNote Dalkılıç O, Demirtaş N (June 1, 2022) Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making. Gazi University Journal of Science 35 2 644–657.
IEEE O. Dalkılıç and N. Demirtaş, “Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making”, Gazi University Journal of Science, vol. 35, no. 2, pp. 644–657, 2022, doi: 10.35378/gujs.828316.
ISNAD Dalkılıç, Orhan - Demirtaş, Naime. “Combination of the Bipolar Soft Set and Soft Expert Set With an Application in Decision Making”. Gazi University Journal of Science 35/2 (June 2022), 644-657. https://doi.org/10.35378/gujs.828316.
JAMA Dalkılıç O, Demirtaş N. Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making. Gazi University Journal of Science. 2022;35:644–657.
MLA Dalkılıç, Orhan and Naime Demirtaş. “Combination of the Bipolar Soft Set and Soft Expert Set With an Application in Decision Making”. Gazi University Journal of Science, vol. 35, no. 2, 2022, pp. 644-57, doi:10.35378/gujs.828316.
Vancouver Dalkılıç O, Demirtaş N. Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making. Gazi University Journal of Science. 2022;35(2):644-57.