On soft α* - open sets and soft contra α* - continuous mappings in soft topological spaces

References

• O Njȧstad, On some classes of nearly open sets, Pacific Journal Mathematics, 15(3), (1965), 961-970. doi: 10.2140/pjm.1965.15.961
   Web of Science ®Google Scholar
• N. M. Al-Tabatabai, (2004), On Some Types of Weakly Open Sets, M. SC. Thesis, University of Baghdad.
   Google Scholar
• G.B. Navalagi, Definition Bank in general topology, Topogy Atlas, (2002).
   Google Scholar
• N. M. Ali and S. M. Khalil, On a * - Open Sets in Topological Spaces, IOP Conference Series: Materials Science and Engineering, 571 (2019) 012021, doi:10.1088/1757-899X/571/1/012021.
   Google Scholar
• D. Molodtsov, Soft set theory−First results, Comput. Math. Appl. 37(4−5) (1999), 19–31. doi: 10.1016/S0898-1221(99)00056-5
   Web of Science ®Google Scholar
• S. M. Khalil and A. Hassan, Applications of Fuzzy Soft r-Ideals in r-Algebras, Fuzzy Information and Engineering, (2020), DOI: 10.1080/16168658.2020.1799703.
   Web of Science ®Google Scholar
• M. A. Hasan, S. M. Khalil, and N. M. A. Abbas, Characteristics of the Soft-(1, 2) - gprw –Closed Sets in Soft Bi-Topological Spaces, IEEE, (2020), to appear.
   Google Scholar
• S. M. Khalil, Decision making using algebraic operations on soft effect matrix as new category of similarity measures and study their application in medical diagnosis problems, Journal of Intelligent & Fuzzy Systems, 37 (2019), 1865-1877. DOI:10.3233/JIFS-179249,
   Web of Science ®Google Scholar
• S. M. Khalil and N. M. A. Abbas, On Nano with Their Applications in Medical Field, AIP, (2020) to appear.
   Google Scholar
• S. M. Khalil, New category of the fuzzy d-algebras, Journal of Taibah University for Science, 12(2), (2018), 143-149. doi: 10.1080/16583655.2018.1451059
   Web of Science ®Google Scholar
• S. M. Khalil and A. Rajah, Solving Class Equation xd = β in an Alternating Group for all n ∈ θ & β ∈ Hn ∩ Cα, Journal of the Association of Arab Universities for Basic and Applied Sciences, 16(1), (2014), 38–45.
   Google Scholar
• S. M. Khalil, Dissimilarity Fuzzy Soft Points and their Applications, Fuzzy Information and Engineering, 8(3), (2016), 281-294 doi: 10.1016/j.fiae.2016.11.003
   Web of Science ®Google Scholar
• S. Abdul-Ghani, S. M. Khalil, M. A. Ulrazaq, A. Al-Musawi,, New Branch of Intuitionistic Fuzzification in Algebras with Their Applications, International Journal of Mathematics and Mathematical Sciences, Volume 2018, Article ID 5712676, 6 pages.
   Google Scholar
• S. M. Khalil and S. A. Abdul-Ghani, Soft M-Ideals and Soft S-Ideals in Soft S-Algebras, IOP Conf. Series: Journal of Physics, 1234 (2019) 012100, doi:10.1088/1742-6596/1234/1/012100.
   Google Scholar
• S. M. Khalil and N. M. Abbas, Applications on New Category of the Symmetric Groups, AIP, (2020) to appear.
   Google Scholar
• S. M. Khalil, M. H. Hasab, Decision Making Using New Distances of Intuitionistic Fuzzy Sets and Study Their Application in The Universities, INFUS, Advances in Intell gent Systems and Computing, (2020), doi.org/10.1007/978-3-030-51156-2_46.
   Google Scholar
• S. M. Khalil and N. M. A. Abbas, Characteristics of the Number of Conjugacy Classes and P-Regular Classes in Finite Symmetric Groups, IOP Conference Series: Materials Science and Engineering, 571 (2019) 012007, doi:10.1088/1757-899X/571/1/012007.
   Google Scholar
• M. M. Torki and S. M. Khalil, New Types of Finite Groups and Generated Algorithm to Determine the Integer Factorization by Excel, AIP, (2020) to appear.
   Google Scholar
• S. M. Khalil, F. Hameed, An algorithm for generating permutation algebras using soft spaces, Journal of Taibah University for Science, 12(3), (2018), 299-308. doi: 10.1080/16583655.2018.1468671
   Web of Science ®Google Scholar
• S. M. Khalil and A. Rajah xd = β in an Alternating Group for each β ∈ H ∩ Cα and n ∉ θ, Journal of the Association of Arab Universities for Basic and Applied Sciences, 10(1), (2011), 42-50.
   Google Scholar
• A. Firas Muhamad Al –Musawi, S. M. Khalil, M. Abd Ulrazaq, Soft (1, 2)-Strongly Open Maps in Bi-Topological Spaces, IOP Conference Series: Materials Science and Engineering, 571 (2019) 012002, doi:10.1088/1757-899X/571/1/012002.
   Google Scholar
• S. M. Khalil, Enoch Suleiman and Modhar M. Torki, Generated New Classes of Permutation I/B-Algebras, Journal of Discrete Mathematical Sciences & Cryptography, (2021), to appear
   Google Scholar
• S. M. Khalil and F. Hameed, An algorithm for generating permutations in symmetric groups using soft spaces with general study and basic properties of permutations spaces. J Theor Appl Inform Technol, 96(9) (2018), 2445-2457.
   Google Scholar
• S. M. Khalil, M. Ulrazaq, S. Abdul-Ghani, Abu Firas Al-Musawi, σ−Algebra and σ−Baire in Fuzzy Soft Setting, Advances in Fuzzy Systems, Volume 2018, Article ID 5731682, 10 pages.
   Google Scholar
• S. M. Khalil, and F. Hameed, Applications of fuzzy ρ-ideals in ρ-algebras, Soft Computing (2020). https://doi.org/10.1007/s00500-020-04773-3.
   Google Scholar
• S. M. Khalil, and A. N. Hassan, New Class of Algebraic Fuzzy Systems Using Cubic Soft Sets with their Applications, IOP Conference Series: Materials Science and Engineering,(2020) to appear.
   Google Scholar
• S. M. Khalil, and F. Hameed, Applications on Cyclic Soft Symmetric Groups, IOP Conf. Series: Journal of Physics, 1530 (2020) 012046, doi:10.1088/1742-6596/1530/1/012046.
   Google Scholar
• A. R. Nivetha, M. Vigneshwaran, Nadia M. Ali Abbas and S. M. Khalil, On N* ga - continuity in topological spaces of neutrosophy, Journal of Interdisciplinary Mathematics, (2020) to appear.
   Google Scholar
• A. R. Nivetha, M. Vigneshwaran, Nadia M. Ali Abbas and S. M. Khalil, On N* ga - continuity in topological spaces of neutrosophy, Journal of Interdisciplinary Mathematics, (2021), to appear
   Google Scholar
• N. M. Ali Abbas, S. M. Khalil and M. Vigneshwaran, The Neutrosophic Strongly Open Maps in Neutrosophic Bi-Topological Spaces, Journal of Interdisciplinary Mathematics, (2021), to appear.
   Google Scholar
• M. Shabir and M. Naz , On Soft topological spaces, Comp. And Math. with applications, 61(7), (2011), 1786-1799. doi: 10.1016/j.camwa.2011.02.006
   Web of Science ®Google Scholar
• Kharal, A. & Ahmad, B., Mappings on soft classes. New Math. Nat. Comput., 7(3), (2011), 471–481. doi: 10.1142/S1793005711002025
   Google Scholar