Classifications of Pairwise Fuzzy Volterra Spaces
1G.Thangaraj, Professor and Head, Department of Mathematics, Thiruvalluvar University Serkkadu, Vellore (Tamil Nadu), India.
2V.Chandiran, Research Scholar, Department of Mathematics, Thiruvalluvar University Serkkadu, Vellore (Tamil Nadu), India.
Manuscript received on 25 November 2019 | Revised Manuscript received on 19 December 2019 | Manuscript Published on 30 December 2019 | PP: 199-202 | Volume-9 Issue-1S5 December 2019 | Retrieval Number: A10511291S52019/19©BEIESP | DOI: 10.35940/ijeat.A1051.1291S52019
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The main focus of this paper is to introduce the new types of pairwise fuzzy Volterra spaces such as by introducing pairwise fuzzy residual sets in the place of pairwise fuzzy Gδ -sets in the definition of pairwise fuzzy Volterra space, a new kind of fuzzy bitopological space namely, pairwise fuzzy εr -Volterra spaces has been introduced and studied and also by introducing pairwise fuzzy pre-open sets in the place of pairwise fuzzy dense sets in the definition of pairwise fuzzy Volterra space, another kind of fuzzy bitopological space namely, pairwise fuzzy εr – Volterra spaces has been introduced and studied. Some of their characterizations and relationships with the other fuzzy bitopological spaces have been investigated and studied. Key words and phrases: Pairwise fuzzy dense set, pairwise fuzzy nowhere dense set, pairwise fuzzy first category set, pairwise fuzzy residual set, pairwise fuzzy Volterra space, pairwise fuzzy submaximal space, pairwise fuzzy Baire space, pairwise fuzzy nodec space and pairwise fuzzy strongly irresolvable space.
Keywords: AMS Mathematics Subject Classification (2000) : 54 A 40, 03 E 72.
Scope of the Article: Classification