The article deals with mathematical and algorithmic support for sulfur prints image classification based on fuzzy sets and rules of accessories using peer inspections. In the study of the causes of unambiguous classification the authors have introduced codomains of membership function form: single classification, empty set, complete absorption and unambiguous classification. The article conceiv...

Most fuzzy controllers and fuzzy expert systems must predefine membership functions and fuzzy inference rules to map numeric data into linguistic variable terms and to make fuzzy reasoning work. In this paper, we propose a general learning method as a framework for automatically deriving membership functions and fuzzy if-then rules from a set of given training examples to rapidly build a protot...

The contact behaviour between the grinding wheel and workpiece in abrasive machining processes has been investigated. This has revealed the ambiguity in deciding the size of the contact region from a measured contact signal. For improved representation of the contact conditions, fuzzy set theory was used. A membership function for the fuzzy representation of the extent of wheelworkpiece contact...

Fuzzy AHP is a hybrid method that combines Fuzzy Set Theory and AHP. It has been developed to take into account uncertainty and imprecision in the evaluations. Fuzzy Set Theory requires the definition of a membership function. At present, there are no indications of how these membership functions can be constructed. In this paper, a way to calibrate the membership functions with comparisons giv...

An interactive multiobjective fuzzy inventory problem with two resource constraints is presented in this paper. The cost parameters and index parameters, the storage space, the budgetary cost, and the objective and constraint goals are imprecise in nature. These parameters and objective goals are quantified by linear/nonlinear membership functions. A compromise solution is obtained by geometric...

In this work we study the asymptotic behavior of fuzzy solutions obtained by using Zadeh’s extension at the deterministic solutions of initial value problems. We obtain some result regarding the existence of fuzzy equilibrium points that generalize the already known results. As show earlier, the membership function of the fuzzy equilibrium points may be obtained in a relatively simple way. Also...

The aim of this work is to improve the classification of defects in X-ray inspection by developing a new method based on Dempster-Shafer data fusion theory where measured features on the detected objects are considered as information sources. From the histogram of features values on a learning database of manually classified objects, an automatic procedure is proposed to define a set of mass fu...

Rough membership function defines the degree of relationship between conditional and decision attributes an information system. It is defined by where src=image/13429145_07.gif> subset src=image/13429145_08.gif> under relation src=image/13429145_09.gif> universe discourse. can be expressed in different forms like cardinality form, probabilistic form etc. In it as...