Abstract

Extended Rotational Fuzzy Set Model and its Application

Mike Dison. E1 and Pathinathan. T2

1Research Scholar, P.G. and Research Department of Mathematics, Loyola College, Chennai, INDIA. 2Associate Professor, P.G. and Research Department of Mathematics, Loyola College, Chennai, INDIA.

ABSTRACT

Fuzzy predicates such as age, beauty, height, etc., may have meanings with different gradations if they are associated with related synonyms. Direct understanding of such terms become complicated. In this paper, a new type of rotational fuzzy set model called Extended Rotational Fuzzy Set Model has been introduced. Deeper analysis using Rotational Fuzzy Set Model has been carried out with an example. Suitable illustrations to categorize the related fuzzy predicate and its gradations are given. Extended rotational fuzzy set model represents linguistic information in terms of angles in a unit sphere.

Keywords :Angular fuzzy set model, rotational fuzzy set model, extended rotational fuzzy set model, translational fuzzy set model.

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