Nano Fuzzy Generalized α-closed Sets and Nano Fuzzy α-generalized Closed Sets and Application
Purva Rajwade *
Department of Applied Mathematics, Institute of Engineering & Technology, DAVV, Indore (M. P.), India.
Rachna Navalakhe
Department of Applied Mathematics & Computational Science, Shri G. S. Institute of Technology & Science, Indore (M. P.), India.
*Author to whom correspondence should be addressed.
Abstract
The presented article is a framework of research based on two main aims. The main objective of this paper is to introduce, provide definitions for, and conduct a comprehensive study of a novel category of sets known as Nano fuzzy generalized α-closed sets and Nano fuzzy α-generalized closed sets in Nano fuzzy topological spaces. These spaces are having applications in various fields. Within the context we have addressed a medical diagnosis problem by applying the principles of Nano fuzzy topological spaces.
Keywords: Nano fuzzy topological spaces, Nano fuzzy generalized α-closed sets, Nano fuzzy α-generalized closed sets
How to Cite
Downloads
References
Pawlak Z, Rough sets, International Journal of Computer & Information Sciences. 1982;11(5):341-356.
Thivagar L, Richard C. On Nano forms of weakly open set, International Journal of Mathematics and Statistics Invention. 2013;1(1):31-37.
Qays Hatem Imran, On Nano Semi Alpha Open Sets, Journal of Science and Arts. 2017;2(39):235-244.
Nasef AA, Aggour AI, Darwesh SM. On some classes of nearly open sets in nano topological spaces, Journal of the Egyptian Mathematical Society. 2016;24:585-589.
Nachiyar Thanga R, Bhuvaneswari K.. On Nano generalized α-closed sets and Nano α-generalized closed sets in Nano topological spaces, International Journal of Engineering Trends and Technology. 2014;13(6):257-260.
Zadeh LA. Fuzzy sets, Information and Control. 1965;8:338-353.
Chang CL. Fuzzy topological spaces, Journal of Mathematical Analysis and Applications. 1968;24:182-190.
Navalakhe R, Rajwade P. On Nano fuzzy topological spaces, International Review of Fuzzy Mathematics. 2019;14 (2):127-136.
Dubois D, Prade H. Rough fuzzy sets and fuzzy rough sets, International Journal of General Systems., 1990;17:191–208.
Rajwade P, Navalakhe R.. On Nano Fuzzy Forms of Weakly Fuzzy Open Sets, Journal of Northeastern University. 2022;25(4):3957-3964.
Rajwade P, Navalakhe R, Jain V. Nano Generalized Fuzzy Semi-open Sets and Nano Fuzzy β-Open Sets in Nano Fuzzy Topological Spaces, GANITA, Bhartiya Ganita Parishad. 2022;72(1):285-289.
Navalakhe R, Rajwade P. Nano Fuzzy b-open Sets in Nano fuzzy Topological Spaces, Annals of Pure and Applied Mathematics. 2022;25(1):55-61.
Thangammala R, Saraswathi M, Vadivel A, John Sundar C. Fuzzy nano Z-open sets in fuzzy nano topological spaces, Journal of Linear and Topological Algebra. 2022;11(01):27-38.
Andrijevic D. Semi-pre-open sets, Math. Vesnik. 1986;38:24-32.
Levin N. Semi-open sets and semi continuity in topological spaces, Amer. Math. Monthly. 1963;70:36-41.