Direct implementation of extended arithmetic operators on fuzzy numbers is computationally complex. Implementation of the extension principle is equivalent to solving a nonlinear programming problem. To overcome this difficulty many applications limit the membership functions to certain shapes, usually either triangular fuzzy numbers (TFN) or trapezoidal fuzzy numbers (TrFN). Then calculation o...

In this paper, we argue for representing networks as a bag of triangular motifs, particularly for important network problems that current model-based approaches handle poorly due to computational bottlenecks incurred by using edge representations. Such approaches require both 1-edges and 0-edges (missing edges) to be provided as input, and as a consequence, approximate inference algorithms for ...

Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...

This paper presents a methodology that uses the central composite design and radial basis function neural networks in type-1 or interval type-2 model to generate network evaluates quality features an industrial image processing. The includes couple of functions as Huygen’s tractrix triangular membership complementary contributions have not been reported literature functions. advantage using thi...

We propose a method for incorporating multiple linguistic variables into a system dynamics framework. A simple example is used to illustrate the procedures necessary to define linguistic variables using triangular membership functions within the VENSIM Simulation Environment. We illustrate the operations of linguistic variables through a sales and service model where two linguistic variables i....

A Membership Function Generator Circuit (MFGC) with bias supply of 1.5 Volts and independent DCvoltage programmable functionalities is presented. The realization is based on a programmable differential current mirror and three compact voltage-to-current converters, allowing continuous and quasi-linear adjustment of the center position, height, width and slopes of the triangular/trapezoidal outp...

In fuzzy decision problems, the ordering of fuzzy numbers is the basic problem. The fuzzy preference relation is the reasonable representation of preference relations by a fuzzy membership function. This paper studies Nakamura’s and Kołodziejczyk’s preference relations. Eight cases, each representing different levels of overlap between two triangular fuzzy numbers are considered. We analyze the...

This paper pertains to a two machine flowshop scheduling involving independent setup time, transportation time and job block criteria in fuzzy environment. Further, a single transporting agent which carries the jobs from one machine to another is also considered. The objective of the paper is to minimize the makespan, idle time of the machines whenever the processing time, setup time each are u...

One of the important issues in supply chain management is the coordination among different members of the supply chain. In this paper, we have studied a two-stage supply chain coordination problem under uncertain cost and demand information. The aim of the paper is to design a coordination mechanism through quantity discount policy under asymmetric information environment that allows the system...

We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, is defined to be the degree of possibility that the (fuzzy) net present value of the project with discount factor r equals to zero. We show that the possibility distribution of the IRR is a highly nonlinear function of quasi-trian...