Addiction to smartphones, particularly among adolescents, has reached alarming proportions, rivaling or perhaps exceeding internet addiction as the most widespread kind of dependence in modern culture. Evaluating degree problematic smartphone use habits by experts and identifying vulnerable ones steer right treatment program become a critical issue. Since such task may involve an abundance crit...

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

The process of computing correlation among attributes an ordinary database is significant in the analysis and classification a data set. Due to uncertainties embedded classification, encapsulating techniques using Pythagorean fuzzy information appropriate curb uncertainties. Although coefficient between (PFD) applicable measure, its output not reliable because intrinsic effect other interfering...

A dynamic uncertain causality graph (DUCG) is a probabilistic graphical model for knowledge representation and reasoning, which has been widely used in many areas, such as safety assessment, medical diagnosis, fault diagnosis. However, the convention DUCG fails to experts’ precisely because parameters were crisp numbers or fuzzy numbers. In reality, domain experts tend use linguistic terms expr...

bilevel linear programming  is a decision making problem with a two-level decentralized organization. the textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. making a decision at one level affects that at the other one. in this paper, bilevel linear programming  with inexact parameters has been studied and a method is...

Primitive Pythagorean triples (PPT) may be put into different equivalence classes using residues with respect to primes. We show that the probability that the smaller odd number associated with the PPT triple is divisible by prime p is 2/(p+1). We have determined the autocorrelation function of the Baudhāyana sequences obtained from the residue classes and we show these sequences have excellent...

Given a subset D of positive integers, an integer distance graph is a graphG(Z, D) with the set Z of integers as vertex set and with an edge joining two vertices u and v if and only if |u−v| ∈ D. In this paper we consider the problem of determining the chromatic number of certain integer distance graphs G(Z, D)whose distance set D is either 1) a set of (n + 1) positive integers for which the n ...