Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft congruence relations by using the soft set theory. The notions of soft quotient rings, generalized soft ideals and generalized soft quotient rings, are introduced, and several related properties are investigated. Also, we obtain a...

This paper focuses on the set-oriented operations and algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties $\alpha$-intersection set are investigated, where $\alpha$ is a non-empty subset universal set. Later, by using set, notion set-generated subring ring introduced. The generators intersections products subrings given. Some related about investigated...

Maji[32], firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions of neutrosophic soft with the definitions given by Maji. Then, we have introduced the concept of neutrosophic soft matrix and their operators which ...

Core capabilities are critical abilities that enhance and sustain an organization’s competitive advantage in extremely competitive environments. In today’s complex and dynamic business environment, companies are often prevented from effectively and efficiently evaluating relevant factors necessary for developing their core capability strategic systems. These systems, with inherent human decisio...

The problem of building recommender systems has attracted considerable attention in recent years. The objective of this paper is to automatically suggest and rank a list of new items to a user based on the past voting patterns of other users with similar tastes. The proposed model can be considered as a Soft Computing-based collaborative recommender system. The combination of Bayesian networks,...