<abstract xmlns="http://www.w3.org/1999/xhtml">

In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨<italic>qk</italic>)-FSR(L)Is of ordered semigroup(OSG). Based on this inception, fuzzy soft level subsets are defined which link ordinary ideals with (∈, ∈ ∨<italic>qk</italic>)-fuzzy soft left(right) ideals. Some binary operations like ◦<italic>λ</italic>, intersection ∩<italic>λ</italic> and union of fuzzy soft sets ∪<italic>λ</italic> are given and various fundamental results of ideal theory are developed through these types of fuzzy soft ideals.
</abstract>

In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)-FSR(L)Is of ordered semigroup(OSG). Based on this inception, fuzzy soft level subsets are defined which link ordinary ideals with (∈, ∈ ∨qk)-fuzzy soft left(right) ideals. Some binary operations like ◦λ, intersection ∩λ and union of fuzzy soft sets ∪λ are given and various fundamental results of ideal theory are developed through these types of fuzzy soft ideals.

A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups"}

In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty...

A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups

Publié en ligne: 08 juil. 2021

Pages: 155 - 171

Reçu: 26 juil. 2020

Accepté: 30 déc. 2020

DOI: https://doi.org/10.2478/auom-2021-0023

Mots clés
Fuzzy soft subsets, OSGs (∈, ∈ ∨)-FSR(L)Is, (∈∈ ∨)-fuzzy soft ideals, level subsets

© 2021 Faiz Muhammad Khan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups

Publié en ligne: 08 juil. 2021

Pages: 155 - 171

Reçu: 26 juil. 2020

Accepté: 30 déc. 2020

DOI: https://doi.org/10.2478/auom-2021-0023

Mots clésFuzzy soft subsets, OSGs (∈, ∈ ∨)-FSR(L)Is, (∈∈ ∨)-fuzzy soft ideals, level subsets

© 2021 Faiz Muhammad Khan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Fuzzy soft subsets, OSGs (∈, ∈ ∨)-FSR(L)Is, (∈∈ ∨)-fuzzy soft ideals, level subsets