Trapezoidal words are words having at most n+1 distinct factors of length n for every n ≥ 0. They therefore encompass finite Sturmian words. We give combinatorial characterizations of trapezoidal words and exhibit a formula for their enumeration. We then separate trapezoidal words into two disjoint classes: open and closed. A trapezoidal word is closed if it has a factor that occurs only as a p...

This paper proposes a new method to solve fuzzy critical path problems for a project network with activity times being normalised trapezoidal fuzzy numbers. is solved successfully to demonstrate the validity of the proposed approach.

In this paper, we introduce a method to obtain the nearest trapezoidal approximation of fuzzy numbers so that preserving conditions expect interval and include the core of a fuzzy number.

In this paper, Multi objective two stage Fuzzy transportation problem is solved in a feasible method. For this solution zero suffix method is used in which the supplies and demands are trapezoidal fuzzy numbers and fuzzy membership of the objective function is defined. Here a numerical example is solved to check the validity of the proposed method. Mathematics Subject Classifications: 90C08, 90C90

In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Trapezoidal quadrature rule. We prove that this method has quadratic convergence. The fuzzy quantities are presented in parametric form. Sever examples are given to illustrate the efficiency of the proposed method. Mathematics Subject Classification: 03E72; 37C25

In current scenario of modern technology, we are facing a necessity of noise removal in signal processing. Various approaches are used for the same. This paper describes an intelligent adaptive filtering for noise cancellation. Here ANFIS method is being used for removal of noise from audio speech signals. An audio signal contaminated with noise is taken and inspected with eight types of member...

The numerical computation of P{X > x} can be accomplished in a variety of ways. An appealing class of methods may be derived from the contour integral connecting P{X > x} and its Fourier representation. Statisticians have largely focused on deriving saddlepoint approximations for this contour integral. The accuracy of such approximations is generally understood in vague terms only and, perhaps ...

An important step in the automation of electronic design is the assignment of the physical components on the target semiconductor die. The major aim of floorplanning is to distribute the modules of a circuit onto a chip to optimize its area, wire length and timing. As the density of very large scale integrated (VLSI) circuits enhance, the need for faster floorplanning algorithms also grows. The...

An important step in the automation of electronic design is the assignment of the physical components on the target semiconductor die. The major aim of floorplanning is to distribute the modules of a circuit onto a chip to optimize its area, wire length and timing. As the density of very large scale integrated (VLSI) circuits enhance, the need for faster floorplanning algorithms also grows. The...

Intuitionistic Fuzzy numbers each of which is characterized by the degree of membership and the degree of non-membership of an element are a very useful means to depict the decision information in the process of decision making. The aim of this article is to investigate the approach to multiple attribute group decision making with intuitionistic trapezoidal fuzzy numbers, some operational laws ...