In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy  sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. W...

Class learning is a teaching and activity involving both teachers students. Students in the class have different levels of intelligence, divided into three categories: lowest, average, most intelligent. Teachers usually pay less attention to intelligent Consider student who not enough remain school. However, if smart required repeat content he already comprehends, will become bored. Therefore, ...

This paper analyzes independence concepts for sets of probability measures associated with directed acyclic graphs. The paper shows that epistemic independence and the standard Markov condition violate desirable separation properties. The adoption of a contraction condition leads to d-separation but still fails to guarantee a belief separa­ tion property. To overcome this unsatisfac­ tory situa...

In recent years there has been considerable progress on the analysis of Markov chains for generating a random coloring of an input graph. These improvements have come in conjunction with refinements of the coupling technique, which is a classical tool in probability theory. We survey results on generating random colorings, and related technical improvements.

the rapid development of internet and electronic businesses have stimulated the banking sector towards encouraging customers to internet banking (ib), however, the evidence indicates a lack of interest in the use of ib services. therefore, this paper aims to identify affecting factors on customer adoption from ib and measure the influence of each factor on ib adoption. based on an explorative l...

The value 1 problem is a natural decision problem in algorithmic game theory. For partially observable Markov decision processes with reachability objective, this problem is defined as follows: are there strategies that achieve the reachability objective with probability arbitrarily close to 1? This problem was shown undecidable recently. Our contribution is to introduce a class of partially ob...

The suppliers selection is a multiple attribute decision making (MADM) problem. Since the decision maker (DM)s like preferences on alternatives or on attributes of suppliers are often uncertain, and thus the selection of good suppliers becomes more difficult. Grey theory is one of the methods that are used to study uncertainty, it is superior in mathematical analysis of systems with uncertain i...

The purpose of this study is to consider the problem of finding a guaranteed way of winning a certain two-player combinatorial game of perfect knowledge from the standpoint of mutually dependent decision processes (MDDPs). Our MDDP model comprises two one-stage deterministic decision processes. Each decision process expresses every turn of a player. We analyze a MDDP problem in which the length...