Seminear-Ring Ideals Constructed from Triangular Fuzzy Numbers

Presenter Name: Bambang Irawanto1 , Suffi Nuralesa 2 and Nikken Prima Puspita 3

Submissionid: 272

Abstract

A set of triangular fuzzy numbers with (0, 0, 0) completed by two operations which
are fuzzy algebra properties of triangular fuzzy numbers is a seminear-ring denoted
by (A˜r ∪ {(0, 0, 0)},⊕,⊗). The addition operation on the seminear-ring is the
pointwise operation which is a binary operation and the multiplication operation
which is also a binary operation if some conditions are satisfied. This article
investigates the multiplication operation on the fuzzy algebra properties of
triangular fuzzy numbers that can be used to construct an algebraic structure. Based
on the conditions given in this article for the multiplication operation, the triple (A˜r
∪ {(0, 0, 0)},⊕,⊗) is a seminear ring. Furthermore, the seminear-ring can be
defined subring and ideal.

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