Exploring the Axiom of Excluded Middle and Axiom of Ontradiction in Fuzzy Sets
1B.Sailaja, Research scholar, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, AP, India.
2VBVN Prasad, Professor, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, AP, India.
Manuscript received on September 22, 2019. | Revised Manuscript received on October 20, 2019. | Manuscript published on October 30, 2019. | PP: 1572-1574 | Volume-9 Issue-1, October 2019 | Retrieval Number: A9538109119/2019©BEIESP | DOI: 10.35940/ijeat.A9538.109119
Open Access | Ethics and Policies | Cite | Mendeley
© 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: Fuzzy sets are considered as a fine extension of classical sets (crisp) in which the elements possess diverse degrees of membership functions. Zadeh is the initiator of fuzzy sets that predominantly deal with imprecision and vagueness. In this paper, the Law of Excluded middle and the Law of Contradiction were discussed in an exemplary mode. In addition to that the definitions of fuzzy sets, crisp sets and the various operations on them were presented in a consecutive manner.
Keywords: Fuzzy sets, sets, crisp sets, fuzzy subsets, membership functions, sets – intersection and union, fuzzy properties, Law of Excluded middle and the Law of contradiction.