TY - JOUR T1 - On Pythagorean Fuzzy Soft Boundary AU - Yolcu, Adem PY - 2020 DA - December JF - Turkish Journal of Science JO - TJOS PB - Ahmet Ocak AKDEMİR WT - DergiPark SN - 2587-0971 SP - 242 EP - 251 VL - 5 IS - 3 LA - en AB - The aim of this paper is to initiate the concept of pythagorean fuzzy soft (PFS) boundary. The characterizations and properties of PFS boundary are discussed and investigated in general as well as in terms of PFS interior and PFS closure. KW - Pythagorean fuzzy soft set KW - pythagorean fuzzy soft topological spaces KW - pythagorean fuzzy soft interior(closure) KW - pythagorean fuzzy soft boundary CR - Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 20, 1986, 87–96. CR - Akram M., Ilyas F., Garg, H. Multi-criteria group decision making based on ELECTRE I method in Pythagorean fuzzy information. Soft Computing. 24(5), 2020, 3425–3453. CR - Athira T.M., John S.J., & Garg H. A novel entropy measure of Pythagorean fuzzy soft sets. AIMS Mathematics. 5(2), 2020 1050–1061. CR - Athira T.M., John S.J., & Garg H., Entropy and distance measures of Pythagorean fuzzy soft sets and their applications, Journal of Intelligent & Fuzzy Systems 37, 2019, 4071–4084, Doi:10.3233/JIFS-190217 CR - Coker D. An introduction of intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88, 1997, 81–89. CR - Ejegwa P.A. Distance and similarity measures for Pythagorean fuzzy sets. Granular Computing, 5(2), 2020, 225–238. CR - Fei L., & Deng Y. . Multi-criteria decision making in Pythagorean fuzzy environment. Applied Intelligence. 50(2), 2020, 537–561. CR - Hussain S. On some properties of Intuitionistic fuzzy soft boundary. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(2), 2020, 39–50. CR - Hussain A., Ali M.I., & Mahmood T. Pythagorean fuzzy soft rough sets and their applications in decision-making. Journal of Taibah University for Science. 14(1), 2020, 101–113. CR - Kirisci M. New type pythagorean fuzzy soft set and decision-making application, arXiv preprint arXiv:1904.04064, 2019. CR - Maji P.K., Biswas R., Roy A.R., Fuzzy soft sets. Journal of Fuzzy Mathematics 9(3), 2001, 589–602. CR - Maji P.K., Biswas R., Roy A.R., Intuitionistic fuzzy soft sets. Journal of fuzzy mathematics 9(3), 2001, 677–692. CR - Molodtsov D., Soft set theory-first results. Comput. Math. Appl. 37(4-5), 1999, 19–31. CR - Naeem K., Riaz M., Peng X., & Afzal D. Pythagorean m-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19. International Journal of Biomathematics, 2050075, 2020. CR - Olgun M., Unver M. & Yardımcı S. Pythagorean fuzzy topological spaces. Complex Intell. Syst. 5, 2019, 177–183, https://doi.org/10.1007/s40747-019-0095-2. CR - Ozturk T.Y., Soft Mappings on soft generalized topological spaces. Creat. math. inform. 27(2) 2018, 177–190. CR - Ozturk T.Y. On bipolar soft topological spaces. Journal of New Theory 20, 2018, 64-75. CR - Ozturk T.Y. and Bayramov S. Soft mappings space. The Scientific World Journal 2014, 2014. CR - Ozturk, T. Y., & Bayramov, S. Topology on Soft Continuous Function Spaces. Mathematical and Computational Applications, 22(2), 2017, 32. CR - Peng X., Yang Y., Song J., Jiang Y., Pythagoren fuzzy soft set and its application. Computer Engineering. 41(7), 2015, 224–229. CR - Riaz M., Naeem K., Aslam M., Afzal D., Ahmahdi F. and Jamal S.S. Multi-criteria Group Decision Making with Pythagorean Fuzzy Soft Topology. Journal of Intelligent and Fuzzy Systems, 2020, 1–18, Doi:10.3233/JIFS-190854. CR - Riaz M., Naeem K., & Afzal D. Pythagorean m-polar fuzzy soft sets with TOPSIS method for MCGDM. Punjab University Journal of Mathematics. 52(3), 2020, 21–46. CR - Yager R.R. Pythagorean fuzzy subsets. Proc. Joint IFSA World Congress NAFIPS Annual Meet., 1, Edmonton, Canada, 2013, 57–61 . CR - Yager R.R. and Abbasov A.M. Pythagorean membership grades, complex numbers, and decision making, Int. J. Intell. Syst., 28(5), 2014, 436–452. CR - Yolcu A. and Ozturk T.Y., Some New Results on Pythagorean Fuzzy Soft Topological Spaces. TWMS J. App. Eng. Math. Accepted. CR - Zadeh, L.A. Fuzzy Sets. Information and Control. 8, 1965, 338–353. UR - https://dergipark.org.tr/en/pub/tjos/issue//834881 L1 - https://dergipark.org.tr/en/download/article-file/1427477 ER -