Classical structure of rough set theory was first formulated by Z. Pawlak in [6]. The foundation of its object classification is an equivalence binary relation and equivalence classes. The upper and lower approximation operations are two core notions in rough set theory. They can also be seenas a closure operator and an interior operator of the topology induced by an equivalence relation on a u...

In this paper, the notions of $(T,S)$-composition matrix and$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{...

background: adverse effect of sun rays mainly uv ray on the human eye documented and protection of eyes is necessary using different methods such as, sun glasses. sunglasses are designed in different colors. the aim of this study was evaluation of the effect of different colors of sunglasses on the visual acuity, contrast sensitivity, stereopsis and color vision. methods: 81 normal subjects wer...

Urbanization transforms natural and agricultural areas into built landscapes. Such profound habitat alteration imposes strong pressure on phenotypic trait changes through processes related to and/or sexual selection. Evidence of how selection drives traits in urban biota is increasing, but little known about the role In this study, we assessed effect urbanization expression interaction males' p...

there is no doubt that colors are important factors in creating arts including poetry. the poets use them because of their visual beauties to show their hidden values. sometimes they go further – beyond the external features – ad use colors as symbols to express their own meaning. moreover, modern poet’s deep insight and vision are the main causes to change the colorful portrait to a bright won...

This study compared the effects of a computer-based stimulus equivalence protocol to a traditional lecture format in teaching single-subject experimental design concepts to undergraduate students. Participants were assigned to either an equivalence or a lecture group, and performance on a paper-and-pencil test that targeted relations among the names of experimental designs, design definitions, ...

The aim of this paper is to find the finest ‘observable’ and ‘implementable’ equivalence on concurrent processes. This is a part of a larger programme to develop a theory of observable processes where semantics of processes are based on locally and finitely observable process behaviour, and all process constructs are allowed, provided their operational meaning is defined by realistically implem...

Indiana University and the University of Washington 2Chain graphs (CG) (= adicyclic graphs) use undirected and directed edges to represent simultaneously both structural and associative dependences.. Like acyclic directed graphs (ADGs), the CG associated with a given statistical model may not be unique, so CGs fall into Markov equivalence classes, which may be superexponentially large, leading ...