Madad Khan

The generalized version of Jun's cubic sets in semigroups

In this paper, we define the concept of generalized cubic subsemigroups (ideals) of a semigroup and investigate some of its related properties. In particular, we introduce the concept of

Decomposition of fuzzy soft sets with finite value spaces.

(\in _{(\widetilde{\gamma }_{1},\gamma _{2}) },\in _{(\widetilde{\gamma}_{1},\gamma _{2}) }\vee q_{(\widetilde{\delta }_{1},\delta _{2})})

Semilattice Decomposition of Locally Associative AG**-groupoids

-cubic ideal,

Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order.

(\in _{( \widetilde{\gamma }_{1},\gamma _{2}) },\in _{(\widetilde{\gamma }_{1},\gamma _{2}) }\vee q_{(\widetilde{\delta }_{1},\delta _{2}) })

Neutrosophic Positive Implicative N -Ideals in BCK-Algebras

-cubic quasi-ideal,

Optimal Campaign Strategies in Fractional-Order Smoking Dynamics

(\in _{( \widetilde{\gamma }_{1},\gamma _{2}) },\in _{(\widetilde{\gamma }_{1},\gamma _{2}) }\vee q_{( \widetilde{\delta }_{1},\delta _{2})})

A note on fuzzy ordered

-cubic bi-ideal and

\mathcal{AG}

(\in _{( \widetilde{\gamma }_{1},\gamma _{2})},\in _{(\widetilde{\gamma } _{1},\gamma _{2})}\vee q_{(\widetilde{\delta }_{1},\delta _{2})})

-groupoids

-cubic prime/semiprime ideal of a semigroup.

Optimal Vaccination of an Endemic Model with Variable Infectivity and Infinite Delay

The notion of fuzzy soft sets is a hybrid soft computing model that integrates both gradualness and parameterization methods in harmony to deal with uncertainty. The decomposition of fuzzy soft sets is of great importance in both theory and practical applications with regard to decision making under uncertainty. This study aims to explore decomposition of fuzzy soft sets with finite value spaces. Scalar uni-product and int-product operations of fuzzy soft sets are introduced and some related properties are investigated. Using t-level soft sets, we define level equivalent relations and show that the quotient structure of the unit interval induced by level equivalent relations is isomorphic to the lattice consisting of all t-level soft sets of a given fuzzy soft set. We also introduce the concepts of crucial threshold values and complete threshold sets. Finally, some decomposition theorems for fuzzy soft sets with finite value spaces are established, illustrated by an example concerning the classification and rating of multimedia cell phones. The obtained results extend some classical decomposition theorems of fuzzy sets, since every fuzzy set can be viewed as a fuzzy soft set with a single parameter.