Characterization of semigroup by rough interval pythagorean fuzzy set

This paper expose a study on rough interval valued pythagorean fuzzy sets in semigroups. We characterize rough interval valued pythagorean fuzzy sets by an example. Characterize composition of two interval valued pythagorean fuzzy sets. Introduce rough interval valued pythagorean fuzzy left(right, bi-, interior-,(1,2)-)ideals in semigroups. Moreover we prove an interval valued pythagorean fuzzy set is an upper rough interval valued pythagorean fuzzy left(right) ideal of semigroup also we give an example for converse of this is not true. Lower and upper approximation of an interval valued pythagorean fuzzy ideal of semigroup is an interval valued pythagorean fuzzy ideal of semigroup.Publisher's Versio

Interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in ordered semigroups

In this paper, we de ne the concept of interval-valued fuzzy left (right, two sided, interior, bi-) ideal in ordered semigroups. We show that the interval- valued fuzzy subset J is an interval-valued fuzzy left (right, two sided, interior, bi-) ideal generated by an interval-valued fuzzy subset A i J and J + are fuzzy left (right, two sided, interior, bi-) ideals generated by A and A + respectivelyPeer Reviewe

On generalized interval valued fuzzy quasi-ideals of semigroups

In this paper, we give the concepts of generalized interval valued fuzzy subsemigroups, which are generalizations of the notion of interval valued fuzzy subsemigroups and of (ᾱ, β)-interval valued fuzzy subsemigroups, where ᾱ ≺ β. Also we prove some of related properties of generalized interval valued fuzzy quasi-ideals on semigroups. In the main results, we characterize regular and intra-regular semigroups in terms of generalized interval valued fuzzy ideal and quasi-ideals.Publisher's Versio

Bi-ideals of ordered semigroups based on the interval-valued fuzzy point

Interval-valued fuzzy set theory (advanced generalization of Zadeh’s fuzzy sets) is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory. In this paper, we introduce the notion of generalized quasi-coincident with (q(Formula Presented)) relation of an interval-valued fuzzy point with an interval-valued fuzzy set. In fact, this new concept is a more generalized form of quasi-coincident with relation of an interval-valued fuzzy point with an interval-valued fuzzy set. Applying this newly defined idea, the notion of an interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideal is introduced. Moreover, some characterizations of interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideals are described. It is shown that an interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideal is an interval-valued fuzzy bi-ideal by imposing a condition on interval-valued fuzzy subset. Finally, the concept of implication-based interval-valued fuzzy bi-ideals, characterizations of an interval-valued fuzzy bi-ideal and an interval-valued (∈,∈vq(Formula Presented)) - fuzzy bi-ideal are considered

A study on spherical fuzzy ideals of semigroup

In this paper, we introduce the notion of spherical fuzzy ideals of semigroup and establish the properties of it with suitable examples. Also, we introduce the concept of spherical fuzzy sub-semigroup, spherical fuzzy left(resp.right) ideal, spherical fuzzy bi-ideal, spherical fuzzy interior ideal, and homomorphism of a spherical fuzzy ideal in semigroups with suitable illustration. We show that every spherical fuzzy left(right) ideal is a spherical fuzzy bi-ideal

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

Fuzzy hh-ideals of hemirings

A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated. It is proved that a fuzzy subset $\zeta$ of a hemiring $S$ is a prime fuzzy left (right) $h$-ideal of $S$ if and only if $\zeta$ is two-valued, $\zeta(0) = 1$, and the set of all $x$ in $S$ such that $\zeta(x) = 1$ is a prime (left) right $h$-ideal of $S$. Finally, the similar properties for maximal fuzzy left (right) $h$-ideals of hemirings are considered

Cubic Interior Ideals in Semigroups

In this paper we apply the cubic set theory to interior ideals of a semigroup. The notion of cubic interior ideals is introduced, and related properties are investigated. Characterizations of (cubic) interior ideals are established, and conditions for a semigroup to be left (right) simple are provided