In this paper, a fuzzy based inventory model for imperfect quality items has been developed with shortages. The parameters fixed cost; holding cost and shortage cost are considered as fuzzy numbers. We considered the triangular fuzzy number to represents fuzzy parameters. The optimum order quantity is obtained in fuzzy sense with the help of signed distance method. The proposed model is illustr...

A celebrated result of Gauss states that every positive integer can be represented as the sum of three triangular numbers. In this article we study p3∆(n), the number of partitions of the integer n into three triangular numbers, as well as p3∆(n), the number of partitions of n into three distinct triangular numbers. Unlike t(n), which counts the number of representations of n into three triangu...

calling r ∈ Z+ the balancer corresponding to the balancing number n. The numbers 6, 35, and 204 are examples of balancing numbers with balancers 2, 14, and 84, respectively. Behera and Panda [1] also proved that a positive integer n is a balancing number if and only if n2 is a triangular number, that is, 8n2 + 1 is a perfect square. Though the definition of balancing numbers suggests that no ba...

The evaluation of quality of the railway passenger service is an important way to know the quality of the railway passenger service. This paper firstly constructs an evaluation indicator system of the quality of the railway passenger service on the foundation of the related literatures, and constructs the multiple-attribute evaluation matrix and indicator weight vector based on the linguistic v...

This article considers the problems of maximum flow and minimum cost flow determining in fuzzy network. Parameters of fuzzy networks are fuzzy arc capacities in the case of maximum flow finding and transmission costs of one flow unit in the case of minimum cost flow finding. These parameters are represented as fuzzy triangular numbers. Conventional rules of operating with fuzzy triangular numbe...

The adoption of triangular fuzzy sets to define Strong Fuzzy Partitions (SFPs) is a common practice in the research community: due to their inherent simplicity, triangular fuzzy sets can be easily derived from data by applying suitable clustering algorithms. However, the choice of triangular fuzzy sets may be limiting for the modeling process. In this paper we focus on SFPs built up starting fr...

Min-independence has been proved to be a sufficient condition of a vector of fuzzy random variables to be a fuzzy random vector. The objective of this paper is to study further on the independence condition for fuzzy random vector based on continuous triangular norms. We first discuss measurability criteria for fuzzy random vector, and present two more new equivalent formulations of the measura...