Using Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands Abstract In this paper, the capacitated location routing problem with fuzzy demands (CLRP_FD) is considered. In CLRP_FD, facility location problem (FLP) and vehicle routing problem (VRP) are observed simultaneously. Indeed the vehicles and the depots have a predefined capacity to serve the customerst...

In insurance, credibility theory (CT) is used to develop a weighted average of the claims experience of an individual contract and the experience for the whole portfolio, where the weight factor is the credibility attached to the individual experience. Recently, Liu and Liu (2002) and Liu (2007), in the study of the behavior of fuzzy phenomena, formulated an alternate version of credibility the...

In this paper, the issue of the law of large numbers for fuzzy variables is considered. Since in credibility theory convergence in credibility implies convergence almost sure, the strong law of large numbers is defined via convergence in credibility, while the weak law of large numbers is defined through convergence almost sure. Based on the convergence results about the unform integrability of...

This paper proposes a technique for solving a Fuzzy Linear Programming Problem(FLPP) when some of its constraints are fuzzy homogeneous. Using these fuzzy homogeneous constraints a fuzzy transformation matrix is constructed. This fuzzy transformation matrix transforms the given problem in to another FLPP with fewer fuzzy constraints. A relationship between these two problems, which ensures that...

Several logics for reasoning under uncertainty distribute probabil ity mass over sets in some sense These include probabilistic logic Dempster Shafer theory other logics based on belief functions and second order probabilistic logic We show that these logics are in stances of a certain type of linear programming model typically with exponentially many variables We also show how a single linear ...

INTRODUCTION Patient-reported outcomes (PROs) are often the outcomes of greatest importance to patients. The minimally important difference (MID) provides a measure of the smallest change in the PRO that patients perceive as important. An anchor-based approach is the most appropriate method for MID determination. No study or database currently exists that provides all anchor-based MIDs associat...

In the extension of irregularity indices, Abdo et. al. [1] defined the total irregu-larity of a graph G = (V, E) as irrt(G) = 21 Pu,v∈V (G) du − dv, where du denotesthe vertex degree of a vertex u ∈ V (G). In this paper, we investigate the totalirregularity of trees with bounded maximal degree Δ and state integer linear pro-gramming problem which gives standard information about extremal trees a...

In economic order quantity models without backordering, both the stock cost of each unit quantity and the order cost of each cycle are characterized as independent fuzzy variables rather than fuzzy numbers as in previous studies. Based on an expected value criterion or a credibility criterion, a fuzzy expected value model and a fuzzy dependent chance programming (DCP) model are constructed. The...

The results of experimental studies to determine the influence parameters reversible surface plastic deformation on waviness cylindrical parts made steel 45, are presented. proposed method implemen-tation for finishing and hardening treatment requires development a device formation reversing circular motion working tool. On completion using PyCharm computer program Python pro-gramming language,...

A compositional parallel program is a program constructed by composing component programs in parallel where the composed pro gram inherits properties of its components In this paper we describe a small extension of C called Compositional C or CC which is an object oriented notation that supports compositional parallel programming CC integrates di erent paradigms of parallel pro gramming data pa...