Classical consistency degree has some limitations for measuring the consistency of a decision table, in which the lower approximation of a target decision is only taken into consideration. In this paper, we focus on how to measure the consistencies of a target concept and a decision table and the fuzziness of a rough set and a rough decision in rough set theory. For three types of decision tabl...

In this paper, the problem of measuring the degree of inclusion and similarity measure for two   interval-valued intuitionistic  fuzzy sets is considered. We propose inclusion and similarity measure by using  order on interval-valued intuitionistic fuzzy sets connected with lexicographical order. Moreover, some properties of inclusion and similarity measure and some correlation, between them an...

We present a simple design of electromagnetic shields for both field expelling and field confinement. Motivated by the concept of neutral inclusions in the theory of composites, we introduce two concepts of neutral shells, and use neutral shells to construct our designs of electromagnetic shields. We also discuss the relationships between electromagnetic shields and cloaking structures and argu...

In this paper, we discuss about Inclusion Measure for ranking the Interval Valued Neutrosophic Sets (IVNSs) by using some distance measure concepts. is an easy way to understand method between IVNSs. We finally illustrate a multi attribute decision making problem reveal strength and usefulness of Measure.

Nowadays, inclusion is a main concern whoever and wherever. Higher education business schools have been criticized for their non-inclusion many years. In this context, higher has model role to play concerning inclusion. However, there lack of tools measure the inclusivity levels institutions. Thus, it difficult really know if inclusive or not in case needed, where they must be more inclusive. T...

We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existenc...

A new concept of the inclusion measure for intuitionistic fuzzy sets is proposed by the axiomatic definition. Also, the distance measures, similarity measures and information entropy are recalled and summarized. Most of important, some relationships among distance measure, information entropy, and inclusion measure of IFSs are then investigated. Finally, we obtain some important theorems by whi...

1 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA 2 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, Sidi Bel-Abbès 22000, Algeria 4 Departamento de Analisis Matematico, Facultad de Matematicas, Universida...