Research Article
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Year 2022, , 66 - 73, 30.06.2022
https://doi.org/10.47000/tjmcs.920681

Abstract

References

  • Abbas, M., Murtaza, G., Smarandache, F., Basic operation on hypersoft sets and hypersoft point, Neutrosophic sets and system, 35(2020), 407-421.
  • Ali, M.I., A note on soft sets, rough soft sets and fuzzy soft sets, Appl. Soft Comput., 11(2011), 3329-3332.
  • Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96
  • Bera, T., Mahapatra, N.K., Introduction to neutrosophic soft topological space, Opsearch, 4(2017), 841-867.
  • Broumi, S., Smarandache, F., Intuitionistic neutrosophic soft set, J. Inf. Comput. Sci., 8(2013), 130-140.
  • Chang, C.L., Fuzzy topological spaces, Journal of mathematical Analysis and Applications, 1(1968), 182-190.
  • Coker, D., An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 1(1997), 81-89.
  • Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(1999), 19-31.
  • Maji, P.K., Biswas, R., Roy, A.R., Fuzzy soft sets, J. Fuzzy Math., 9(2001), 589-602.
  • Maji, P.K., Biswas, R., Roy, A., Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 3(2001), 677-692.
  • Maji, P.K., Neutrosophic soft set, Ann. Fuzzy Math. Inform., 5(2013), 57-168.
  • Majumdar, P. Samanta, S.K., Generalised fuzzy soft sets, Comput. Math. Appl., 59(2010), 1425-1432
  • Pawlak, Z., Rough sets, Int. J. Inf. Comput. Sci., 11(1982), 341-356.
  • Smarandache, F., Extension of soft set to hypersoft set, and then to plithogenic hypersoft set, Neutrosophic Sets and System, 22(2018), 168-170.
  • Wang, F., Li, X., Chen, X., Hesitant fuzzy soft set and its applications in multicriteria decision making, J. Appl. Math., 2014(2014).
  • Xiao, Z., Xia, S., Gong, K., Li, D., The trapezoidal fuzzy soft set and its application in MCDM, Appl. Math. Model., 36(2012), 5844-5855.
  • Xu, W., Ma, J. Wang, S. Hao, G., Vague soft sets and their properties, Comput. Math. Appl., 59(2010), 787-794.
  • Yang, X.B., Lin, T.Y., Yang, J.Y., Li, Y., Yu, D.Y., Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl., 58(2009), 521-527.
  • Yang, Y., Tan, X., Meng, C.C., The multi-fuzzy soft set and its application in decision making, Appl. Math. Model., 37(2013), 4915-4923.
  • Yolcu, A., Smarandache F., Ozturk, T.Y, Intuitionistic fuzzy hypersoft sets, Communications Faculty of Sciences University of Ankara Series A Mathematics and Statistics, 70(2021), 443-455.
  • Yolcu, A., Ozturk, T.Y., Fuzzy hypersoft sets and its application to decision-making, Theory and Application of Hypersoft Set, 50(2021).
  • Yolcu, A., Intuitionistic fuzzy hypersoft topology and its application to multi-criteria decision making, Sigma Journal of Mathematics, In press.
  • Yolcu, A., Ozturk T.Y., An introduction to fuzzy hypersoft topological spaces, Caucasian Journal of Science, In press.
  • Zadeh, L.A, Fuzzy sets, Inf. Control, 8(1965), 338-353.

Intuitionistic Fuzzy Hypersoft Separation Axioms

Year 2022, , 66 - 73, 30.06.2022
https://doi.org/10.47000/tjmcs.920681

Abstract

In the present paper, we introduce the notion of $T_{i}$ $(i=0,1,2,3,4)$ separation axioms in intuitionistic fuzzy hypersoft topological spaces and discuss some of its properties. By using this notions, we also give some basic theorems of separation axioms in intuitionistic fuzzy hypersoft topological spaces. Finally, we present hereditary property of intuitionistic fuzzy hypersoft topological spaces.

References

  • Abbas, M., Murtaza, G., Smarandache, F., Basic operation on hypersoft sets and hypersoft point, Neutrosophic sets and system, 35(2020), 407-421.
  • Ali, M.I., A note on soft sets, rough soft sets and fuzzy soft sets, Appl. Soft Comput., 11(2011), 3329-3332.
  • Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96
  • Bera, T., Mahapatra, N.K., Introduction to neutrosophic soft topological space, Opsearch, 4(2017), 841-867.
  • Broumi, S., Smarandache, F., Intuitionistic neutrosophic soft set, J. Inf. Comput. Sci., 8(2013), 130-140.
  • Chang, C.L., Fuzzy topological spaces, Journal of mathematical Analysis and Applications, 1(1968), 182-190.
  • Coker, D., An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 1(1997), 81-89.
  • Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(1999), 19-31.
  • Maji, P.K., Biswas, R., Roy, A.R., Fuzzy soft sets, J. Fuzzy Math., 9(2001), 589-602.
  • Maji, P.K., Biswas, R., Roy, A., Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 3(2001), 677-692.
  • Maji, P.K., Neutrosophic soft set, Ann. Fuzzy Math. Inform., 5(2013), 57-168.
  • Majumdar, P. Samanta, S.K., Generalised fuzzy soft sets, Comput. Math. Appl., 59(2010), 1425-1432
  • Pawlak, Z., Rough sets, Int. J. Inf. Comput. Sci., 11(1982), 341-356.
  • Smarandache, F., Extension of soft set to hypersoft set, and then to plithogenic hypersoft set, Neutrosophic Sets and System, 22(2018), 168-170.
  • Wang, F., Li, X., Chen, X., Hesitant fuzzy soft set and its applications in multicriteria decision making, J. Appl. Math., 2014(2014).
  • Xiao, Z., Xia, S., Gong, K., Li, D., The trapezoidal fuzzy soft set and its application in MCDM, Appl. Math. Model., 36(2012), 5844-5855.
  • Xu, W., Ma, J. Wang, S. Hao, G., Vague soft sets and their properties, Comput. Math. Appl., 59(2010), 787-794.
  • Yang, X.B., Lin, T.Y., Yang, J.Y., Li, Y., Yu, D.Y., Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl., 58(2009), 521-527.
  • Yang, Y., Tan, X., Meng, C.C., The multi-fuzzy soft set and its application in decision making, Appl. Math. Model., 37(2013), 4915-4923.
  • Yolcu, A., Smarandache F., Ozturk, T.Y, Intuitionistic fuzzy hypersoft sets, Communications Faculty of Sciences University of Ankara Series A Mathematics and Statistics, 70(2021), 443-455.
  • Yolcu, A., Ozturk, T.Y., Fuzzy hypersoft sets and its application to decision-making, Theory and Application of Hypersoft Set, 50(2021).
  • Yolcu, A., Intuitionistic fuzzy hypersoft topology and its application to multi-criteria decision making, Sigma Journal of Mathematics, In press.
  • Yolcu, A., Ozturk T.Y., An introduction to fuzzy hypersoft topological spaces, Caucasian Journal of Science, In press.
  • Zadeh, L.A, Fuzzy sets, Inf. Control, 8(1965), 338-353.
There are 24 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Adem Yolcu 0000-0002-4317-652X

Elif Karataş 0000-0001-7427-6921

Taha Yasin Öztürk 0000-0003-2402-6507

Publication Date June 30, 2022
Published in Issue Year 2022

Cite

APA Yolcu, A., Karataş, E., & Öztürk, T. Y. (2022). Intuitionistic Fuzzy Hypersoft Separation Axioms. Turkish Journal of Mathematics and Computer Science, 14(1), 66-73. https://doi.org/10.47000/tjmcs.920681
AMA Yolcu A, Karataş E, Öztürk TY. Intuitionistic Fuzzy Hypersoft Separation Axioms. TJMCS. June 2022;14(1):66-73. doi:10.47000/tjmcs.920681
Chicago Yolcu, Adem, Elif Karataş, and Taha Yasin Öztürk. “Intuitionistic Fuzzy Hypersoft Separation Axioms”. Turkish Journal of Mathematics and Computer Science 14, no. 1 (June 2022): 66-73. https://doi.org/10.47000/tjmcs.920681.
EndNote Yolcu A, Karataş E, Öztürk TY (June 1, 2022) Intuitionistic Fuzzy Hypersoft Separation Axioms. Turkish Journal of Mathematics and Computer Science 14 1 66–73.
IEEE A. Yolcu, E. Karataş, and T. Y. Öztürk, “Intuitionistic Fuzzy Hypersoft Separation Axioms”, TJMCS, vol. 14, no. 1, pp. 66–73, 2022, doi: 10.47000/tjmcs.920681.
ISNAD Yolcu, Adem et al. “Intuitionistic Fuzzy Hypersoft Separation Axioms”. Turkish Journal of Mathematics and Computer Science 14/1 (June 2022), 66-73. https://doi.org/10.47000/tjmcs.920681.
JAMA Yolcu A, Karataş E, Öztürk TY. Intuitionistic Fuzzy Hypersoft Separation Axioms. TJMCS. 2022;14:66–73.
MLA Yolcu, Adem et al. “Intuitionistic Fuzzy Hypersoft Separation Axioms”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 1, 2022, pp. 66-73, doi:10.47000/tjmcs.920681.
Vancouver Yolcu A, Karataş E, Öztürk TY. Intuitionistic Fuzzy Hypersoft Separation Axioms. TJMCS. 2022;14(1):66-73.