International Journal of Mathematics Trends and Technology
Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P521
S. Geetha , Dr.V. Ramadoss, "A Study in Detailed About Fuzzy Algebra and Fuzzy Near Ring.," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 146-155, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P521
a fuzzy set is class of objects in which the transition from membership to no membership is gradual rather than abrupt. Such a class is characterized by a membership function which assigns to an element a grade or degree of membership between 0 and 1. The nearer the values of an element to unity, the higher the grade of its membership. Hence in fuzzy set theory everything is a matter of degree or, to put it metaphorically, everything has elasticity. Although for some time, the simplicity of the definition of a fuzzy set on the one hand, and the existence of analogy between algebra of fuzzy sets with that of the algebra of ordinary sets with on the other, lead to scepticism among mathematical community.
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