In this paper the method of determining the value of the game in fuzzy environment, using trapezoidal fuzzy numbers is proposed. A new approach called fuzzy Nash equilibrium which provides a way for obtaining the optimum strategies for mxn fuzzy payoff matrix is employed. Relevant definitions and numerical examples are also given.

Multivariate continuous time models are now widely used in economics and finance. Empirical applications typically rely on some process of discretization so that the system may be estimated with discrete data. This paper introduces a framework for discretizing linear multivariate continuous time systems that includes the commonly used Euler and trapezoidal approximations as special cases and le...

The factor complexity function C w (n) of a finite or infinite word w counts the number of distinct factors of w of length n for each n ≥ 0. A finite word w of length |w| is said to be trapezoidal if the graph of its factor complexity C w (n) as a function of n (for 0 ≤ n ≤ |w|) is that of a regular trapezoid (or possibly an isosceles triangle); that is, C w (n) increases by 1 with each n on so...

Recently, fuzzy linear programming problems have been considered by many. In the literature of fuzzy linear programming several models are offered and therefore some various methods have been suggested to solve these problems. One of the most important of these problems that recently has been considered; are Fully Fuzzy Linear Programming (FFLP), which all coefficients and variables of the prob...

The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment. The assesments of alternatives over the attributes are expressed with trapezoidal fuzzy neutrosophic numbers in which the three independent components namely, truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F) ar...

ÐThe unsteady ̄ow of blood in a straight, long, rigid pipe, driven by an oscillatory pressure gradient is studied. Three di€erent non±newtonian models for blood are considered and compared. One of them turns out to o€er the best ®t of experimental data, when the rheological parameters are suitably ®xed. Numerical results are obtained by a spectral collocation method in space and the implicit tr...

This paper proposes a new approach to solve the trapezoidal fuzzy unbalanced transportation problem. The proposed method is very efficient in terms of computation. The algorithm of this approach is presented, and explained briefly. Finally, a numerical example is described in the paper to show its efficiency.

How to maximize the efficiency of X-ray Talbot interferometry (XTI) is discussed for X-ray phase imaging. Shape parameters of an amplitude grating used in XTI strongly affect the efficiency. We calculated efficiencies assuming rectangular and trapezoidal patterns for an absorption grating. As a result, a rectangular absorption grating of a duty ratio of 1:1 is optimal. But, a trapezoidal patter...