Interval-Valued Picture Fuzzy Almost Ideals in Semigroups
Winita Yonthanthum1, Anusorn Simuen1 and Ronnason Chinram1,∗
1Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110,
Thailand
Emails: winita.m@psu.ac.th; asimuen96@gmail.com; ronnason.c@psu.ac.th
Abstract
An interval-valued neutrosophic set is a type of neutrosophic sets where the membership, indeterminacy, and
non-membership degrees are represented by closed intervals within the unit interval [0, 1]. An interval-valued
picture fuzzy set is one of special cases of interval-valued neutrosophic sets. In this paper, we apply interval-
valued picture fuzzy sets on almost ideals of semigroups. Moreover, we study a relationship between each
almost ideal in a semigroup and their interval-valued picture fuzzifications.
Keywords: Ideals; Almost ideals; Interval-valued fuzzy sets; Interval-valued picture fuzzy sets; Interval-
valued picture fuzzy almost ideals