In this paper, we introduce the concepts of $2$-isometry, collinearity, $2$%-Lipschitz mapping in $2$-fuzzy $2$-normed linear spaces. Also, we give anew generalization of the Mazur-Ulam theorem when $X$ is a $2$-fuzzy $2$%-normed linear space or $Im (X)$ is a fuzzy $2$-normed linear space, thatis, the Mazur-Ulam theorem holds, when the $2$-isometry mapped to a $2$%-fuzzy $2$-normed linear space...

We define and characterize a somewhat fuzzy γ-irresolute continuous mapping and a somewhat fuzzy irresolute γ-open mapping on a fuzzy topological space. AMS Mathematics Subject Classification : 54A40.

events contributes to the increasing challenges in political decision making, especially the decision to strengthen bilateral economic relationships between friendly nations. Obviously this becomes one of the critical decisions. Typically, such decisions are influenced by certain factors and variables that are based on heterogeneous and vague information. A serious problem that the decision mak...

By using parameterized representation of fuzzy numbers, criteria for a lower semicontinuous fuzzy mapping defined on a non-empty convex subset of Rn to be a convex fuzzy mapping are obtained. c © 2007 Elsevier Ltd. All rights reserved.

A fuzzy cognitive map is a graphical means of representing arbitrary complex models of interrelations between concepts. The purpose of this paper is to describe a dynamic/adaptive fuzzy cognitive map based on the random neural network model. Previously, we have developed a random fuzzy cognitive map and illustrated its application in the modeling of processes. The adaptive fuzzy cognitive map c...

abstract limitations of traditional (conventional) soil surveys and improvement of information technology have lead soil surveyors to invent new methods which are generally called digital soil mapping (dsm). the aim of these methods is the prediction of soil classes or soil properties based on easily-available or measuring environmental variables. the objective of this investigation is to study...

The local community is a complex socio-economic system, and its ability to function for an indefinitely long period of time (viability) is not investigated sufficiently today. The purpose of the research was, using the cognitive mapping, propose to the local community management developing their own management strategies to ensure its viability. Considering the weakly structured subject area of...