multi fuzzy set theory is an extension of theory, which deals with the dimensional fuzziness. In this paper, we introduce concepts multi-fuzzy rings, ideal, image multi- ideal a ring under homomorphism, Cartesian product set, and some related properties theorems are investigated. The purpose study to implement rings in rings.

Many decisions involve multiple stages of choices and events. In this paper to develops fuzzy dynamic system approach for solving multistage decision-making problems. Fuzzy dynamic system is a promising tool for dealing with multistage decision-making and optimization problems under fuzziness. The cases of deterministic, stochastic, fuzzy dynamic system, fuzzy criterion set dynamic programming,...

In many fields, especially in environmetrics and social sciences, it is impossible to obtain exact quantitative data about a variable of interest. Many researchers have suggested that vague, non-precise observations should be described by fuzzy sets. Fuzzy set theory originated by Zadeh (1965) relies on ordering relations that express intensity (degree) of membership of an object in a set. Appl...

In business process management, decision situations are often characterized by fuzziness. This means that the decision premises are not available in the form of mathematic models or numeric values, but rather as fuzzy conditions, such as “low processing time” or “high quality”. This article will show how fuzzy conditions and vaguely formulated goals in business process models can be considered ...

The Kóczy-Hirota Fuzzy Interpolation (“KH” method, Kóczy and Hirota, 1991) is the first method adapting the declarative way of fuzzy function definition and the related “fuzzy dot” rule representation by introducing the concept of Fuzzy Rule Interpolation (FRI). The original KH method had many followers. Most of the FRI methods have difficulties in freely defining the relation of the observatio...

Fuzziness must be considered in systems where available information is uncertain. A model of such a vague phenomenon might be represented as a fuzzy system equation which can be described by the fuzzy functions defined by Zadeh’s extension principle. In this paper, we incorporate the concept of fuzzy set theory into the support vector machine (SVM). This integration preserves the benefits of SV...

For the evaluation of results from remote sensing and high-resolution spatial models it is often necessary to assess the similarity of sets of maps. This paper describes a method to compare raster maps of categorical data. The method applies fuzzy set theory and involves both fuzziness of location and fuzziness of category. The fuzzy comparison yields a map, which specifies for each cell the de...