Molodtsov [35] initiated the soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Maji [30] defined the concept of neutrosophic soft set which is based on a combination of the neutrosophic set and soft set models. In this paper, we give the notion of neutrosophic soft set with a new style and present some algebraic properties. We define several distanc...

A reduct is a subset of attributes that are jointly sufficient and individually necessary for preserving a particular property of a given information system. The existing reduct approaches under soft set theory are still based on Boolean-valued information system. However, in the real applications, the data usually contain non-Boolean values. In this paper, an alternative approach for attribute...

This paper generates a variety of general-systems theoretic concepts and a range of systems theories using a minimal set of primitives. The notion of a distinction is taken as primitive and the natural hierarchy of distinctions becomes the primitive structure. A number of system theories are then analysed in terms of these primitives: Zadeh’s fuzzy sets theory; Klir’s epistemological hierarchy ...

Foundation of soft sets was laid by Molodtsov [14] in 1999 in order to introduce a mathematical tool for modeling vagueness and uncertainty arising in computer sciences, natural sciences, social sciences, medical and many other fields. This is one of mathematical concepts like fuzzy sets [21], generalized fuzzy sets [6] and rough sets [16] given in order to overcome the difficulties in dealing ...

ficient of Determination and Nash-Sutcliffo Coefficient were used for comparing the prediction ability of the developed models. Four input parameters were Body & texture, aroma & flavour, moisture, and free fatty acid. Neurons in two hidden layers varied from 1 to 20. One output parameter was sensory score. Experiments show that Elman model with combination of 4-17-17-1 performed significantly ...

The purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one. The basic structure, especially a basis for such generated soft topologies also studied here. Finally, the notion of compatibility of soft ideals with soft topolog...