On pseudo fuzzy complements of fuzzy sets and the existence of equilibrium and dual points
Author:
*SHERY FERNANDEZ and **SOURIAR SEBASTIAN
Affiliation:
Department of Mathematics, St. Albert’s College, Kochi-682.018 Kerala (INDIA)
Keyword:
Fuzzy set, Fuzzy complement, Equilibrium point, Fuzzy pseudo complement, Dual point
Issue Date:
April 2012
Abstract:
Fuzzy sets are sets with boundaries that are not precise. Fuzzy complements are fuzzy sets on [0,1] satisfying two axioms,viz. boundary conditions and monotonicity. But the existence of an equilibrium point of a fuzzy complement depends on its continuity. Here we introduce a new concept: pseudo fuzzy complement and prove that all suchcomplements have a unique equilibriumpoint and dual point.
Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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*SHERY FERNANDEZ and **SOURIAR SEBASTIAN, "On pseudo fuzzy complements of fuzzy sets and the existence of equilibrium and dual points", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016Copy the following to cite this URL:
*SHERY FERNANDEZ and **SOURIAR SEBASTIAN, "On pseudo fuzzy complements of fuzzy sets and the existence of equilibrium and dual points", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016Available from: https://www.ultrascientist.org/paper/457/
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