Cubic pythagorean fuzzy linear spaces

The first author is supported by the “CSIR” Council of Scientific and Industrial Research.Pythagorean fuzzy sets assist in handling more uncertain and vague data than fuzzy sets and intuitionistic fuzzy sets. The notion of cubic pythagorean fuzzy sets is defined by combining interval valued pythagorean fuzzy sets and pythagorean fuzzy sets In this paper, based on the notion of cubic Pythagorean fuzzy sets we initiate a new theory called cubic pythagorean fuzzy linear spaces. Inspired by the notion of Cubic linear spaces we also present P(resp. R)-union and P(resp. R) intersection of cubic pythagorean fuzzy linear spaces. The concept of internal(resp. external) cubic pythagorean fuzzy linear spaces and its properties are examined.Publisher's Versio

Cubic (1, 2)-ideals on semigroups

In this paper we introduce the concept of cubic (1, 2)-ideals on semigroups and we study basic properties of cubic (1, 2)-ideals. In particular, we find condition cubic bi-ideal is cubic (1, 2)-ideal coincide. Finally we can show that the images or inverse images of a cubic (1, 2)-ideal of a semigroup become a cubic (1, 2)-ideal.Emerging Sources Citation Index (ESCI)MathScinetScopu

A generalization of UP-algebras: Weak UP-algebras

Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a CI-algebra is a weak version of a BE-algebra, a JU-algebra is a weak version of a KU-algebra, and a BZ-algebra is a weak version of a BCC-algebra. In this paper, we introduce the concept of weak UP-algebras as a generalization of UP-algebras, and investigate its basic properties. Additionally, some types of ideals in this type of algebras are introduced and analyzed

Lattice Valued Fuzzy Sets in UP (BCC)-Algebras

The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras