Weighted Fuzzy Sets
Pathinathan T1, Mahimairaj P2
1Pathinathan T, Research Scoler, Department of Mathematics, Loyola College, University of Madras, Chennai, India.
2Mahimairaj P, Research Scoler, Department of Mathematics, Loyola College, University of Madras, Chennai, India.
Manuscript received on January 02, 2020. | Revised Manuscript received on January 15, 2020. | Manuscript published on January 30, 2020. | PP: 766-769 | Volume-8 Issue-5, January 2020. | Retrieval Number: E5718018520/2020©BEIESP | DOI: 10.35940/ijrte.E5718.018520
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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 weighted fuzzy subset is to describe the importance of each element in the set through the characteristi3c function. In this paper, we study how an element and its presence in the set, namely, the degree of belongingness plays a role in determining the characteristic level of the set. Presence of an element in the set strengthens the set to a greater extent. Set gets its weightage, because of its elements and its association with the other elements. Association depicts the internal and external factors influencing over an element. In other words, the proposed weighted fuzzy subset has 3-tuple representation such as elements in a set, degree of presence of an elements and degree of impact of the set because of each elements presence.
Keywords: Weighted fuzzy subset, Characteristic level of the set, Strong fuzzy Set, Weak fuzzy set.
Scope of the Article: Fuzzy logics.