The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties proper sets. presentation the shows a thorough discussion on different alternatives that could be taken define desired systems. These plausible are discarded if they proven impossible in bijective correspondence operators. Finally, definition system established and one-to-one relation operator...

Purpose: this study wants to find any relationship between the numbers of purchase and the income the customer brings to the company. The attempt is to find those customers who buy more than one life insurance policy and represent the signs of good payments at the same time by the help of data mining tools. Design/ methodology/ approach: the approach of this research is to use data mining tools...

The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp Lcontinuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notion...

The applications of non-zero self distance function have recently been discovered in both symmetric and asymmetric spaces. With respect to invariant point results, the available literature reveals that idea has only examined for crisp mappings either or Hence, aim this paper is introduce notion points non-crisp set-valued metric-like To effect, technique κ-contraction Feng-Liu’s approach are co...

The purpose of this paper is to develop a new two-stage method for fuzzy multi-objective linear program and apply to engineering project portfolio selection. In the fuzzy multi-objective linear program, all the objective coefficients, technological coefficients and resources are trapezoidal fuzzy numbers (TrFNs). An order relationship for TrFNs is introduced by using the interval expectation of...

To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the de-nition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp. In an opposite direction, another structure can be constructed maintaining c...

Semantic relations between concepts or data are common modelling devices in various knowledge representation approaches. Fuzzy relations can be defined as fuzzy subsets of the cartesian product of a number of domains, extending the notion of crisp relation. Associations in object-oriented modelling – and more specifically in the Unified Modelling Language – can be interpreted as crisp relations...

models for spatial data propose a list of types and fundamental operators that are needed in spatial data systems. The ROSE algebra (Güting 1994, Güting and Schneider 1995) and OpenGIS abstract specification (Open GIS Consortium 1999) both provide a similar list of spatial operators. (A comparison between the two models can be found in Dilo (2006).) To present the list of operators, we follow h...