Abstract

One Hundredth of Intuitionistic Fuzzy Sets

R. Nagalingam1 and S. Rajaram2

1Part-time Research Scholar, 2Head and Associate Professor, Department of Mathematics, Sri S.R.N.M College, Sattur - 626203, Tamilnadu, INDIA.

ABSTRACT

In this paper, we propose a new type of Intuitionistic Fuzzy Sets(IFSs) namely One Hundredth of Intuitionistic Fuzzy Sets(OHIFSs) which are analogous to the intuitionistic fuzzy sets. We study the relation between OHIFSs and IFSs based on the standard operations + and ∙ . Even though there exists an algebraic isomorphism between OHIFSs and IFSs, some standard results in IFSs are not true for OHIFSs. Comparision of standard results of OHIFSs and IFSs are discussed. AMS Classification: 03E72, 03E75, 03E55.

Keywords :Intuitionistic fuzzy sets, Operators, Operators in IFSs and One hundredth of IFSs.

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