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A Study of Notations and Illustrations of Axiomatic Fuzzy Set Theory

by Lakshmi Ramani Burra, Padmaja Poosapati
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 134 - Number 11
Year of Publication: 2016
Authors: Lakshmi Ramani Burra, Padmaja Poosapati
10.5120/ijca2016907999

Lakshmi Ramani Burra, Padmaja Poosapati . A Study of Notations and Illustrations of Axiomatic Fuzzy Set Theory. International Journal of Computer Applications. 134, 11 ( January 2016), 7-12. DOI=10.5120/ijca2016907999

@article{ 10.5120/ijca2016907999,
author = { Lakshmi Ramani Burra, Padmaja Poosapati },
title = { A Study of Notations and Illustrations of Axiomatic Fuzzy Set Theory },
journal = { International Journal of Computer Applications },
issue_date = { January 2016 },
volume = { 134 },
number = { 11 },
month = { January },
year = { 2016 },
issn = { 0975-8887 },
pages = { 7-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume134/number11/23956-2016907999/ },
doi = { 10.5120/ijca2016907999 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:33:54.973771+05:30
%A Lakshmi Ramani Burra
%A Padmaja Poosapati
%T A Study of Notations and Illustrations of Axiomatic Fuzzy Set Theory
%J International Journal of Computer Applications
%@ 0975-8887
%V 134
%N 11
%P 7-12
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Fuzzy logic system studies reasoning systems in which the design of precision and deception are considered in a graded fashion, in contrast with classical mathematics where only absolutely true statements are considered. Whereas, Axiomatic fuzzy logic system facilitates a significant step on how to transform the information within databases into the membership functions and their fuzzy logic operations, by taking both the fuzziness and randomness into account. In this paper, various notations and illustrations of fuzzy concepts and coherence membership functions have been studied and analyzed under the framework of Axiomatic Fuzzy set theory. Various examples are illustrated for every concept by considering the hypothetical data.

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Index Terms

Computer Science
Information Sciences

Keywords

Axiomatic Fuzzy Set structures Axiomatic Fuzzy Set algebras Axiomatic Fuzzy Set logic Coherence membership functions Fuzzy logic system.

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