General Topology-I

Convex bodies: the brunn–minkowski theory

Soft set theory was introduced by Molodtsov in 1999. Until now its many versions have been developed and applied to a lot of areas from algebra to decision making problems. One of these area is Soft Topology [Cagman, N., Karatas, S., Enginoglu, S., Soft topology, Computers and Mathematics with Applications, 62, 351-358, 2011.] However, it has some difficulties and mistakes. In this paper, for further study on the soft topology, we have made fit this concept which is important for development of the concept of soft sets by decontaminating from its own inconsistencies. We finally discuss this concept later on works.

On Soft Topology

With the development of mobile devices, mobile crowdsourcing has become the research hotspot in mobile crowd sensing networks (MCSS). How to protect the location privacy of mobile user in location-based services is a key problem in MCSS. However, with the increase of privacy-preserving level, the service quality will be influenced and decrease. In order to prevent mobile user’s location privacy from being leaked, this paper proposes a location privacy-preserving mechanism CKD through combining ${k}$ -anonymity and differential privacy-preserving. In addition, the tradeoff between privacy protection and service quality is solved based on Stackelberg game. Through comparison experiments, the proposed location privacy-preserving CKD is verified. In addition, the tradeoff between privacy protection and service quality can be solved by our location privacy-preserving.

The Novel Location Privacy-Preserving CKD for Mobile Crowdsourcing Systems

Fuzzy parameterized fuzzy soft topology with applications

The soft topological spaces and some their related concepts have stud- ied in [7]. In this paper, we introduce and study the notions of soft connected topological spaces after a review of preliminary definitions.

On Soft Connectedness

The notion of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this paper, we consider the concepts of soft compactness, countably soft compactness and obtain some results. We study some soft separation axioms that have been studied by Min and Shabir-Naz. By constructing a special soft topological space, show that some classical results in general topology are not true about soft topological spaces, for instance every compact Housdorff spaces need not be normal.

Some Results Related to Soft Topological Spaces

On three outer-independent domination related parameters in graphs

Limited packing vs tuple domination in graphs.

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Papers

On Soft Connectedness

Some Results Related to Soft Topological Spaces

Some Results Related to Soft Topological Spaces

On three outer-independent domination related parameters in graphs

Limited packing vs tuple domination in graphs.