A Study of Independency on Fuzzy Resolving Sets of Labelling Graphs

Ramachandramoorthi Shanmugapriya, Perichetla Kandaswamy Hemalatha, Lenka Cepova () and Jiri Struz
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Ramachandramoorthi Shanmugapriya: Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600062, India
Perichetla Kandaswamy Hemalatha: Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600062, India
Lenka Cepova: Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 70800 Ostrava, Czech Republic
Jiri Struz: Department of Machine Parts and Mechanism, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 70800 Ostrava, Czech Republic

Mathematics, 2023, vol. 11, issue 16, 1-9

Abstract: Considering a fuzzy graph G is simple and can be connected and considered as a subset H = u 1 , σ u 1 , u 2 , σ u 2 , … u k , σ u k , | H | ≥ 2 ; then, every two pairs of elements of σ − H have a unique depiction with the relation of H , and H can be termed as a fuzzy resolving set (FRS). The minimal H cardinality is regarded as the fuzzy resolving number (FRN), and it is signified by F r G . An independence set is discussed on the FRS, fuzzy resolving domination set (FRDS), and Fuzzy modified antimagic resolving set (FMARS). In this paper, we discuss the independency of FRS and FMARS in which an application has also been developed.

Keywords: fuzzy resolving set; fuzzy resolving domination set; fuzzy super resolving set; modified fuzzy antimagic labelling set; modified fuzzy graceful labelling set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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