In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Yager family of t-norms is considered as fuzzy composition. Yager family of t-norms is a parametric family of continuous nilpotent t-norms which is also one of the most frequently appli...

In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of ...

A fuzzy rule-based system design concentrates on accuracy and interpretability of the system. Fuzzy decision tree method is proposed based on fuzzy RDBMS and rule generation based on C4.5 algorithm known as fuzzy rule generation system (FRGS) algorithm. A fuzzy decision tree is developed by first converting a medical application of heart relational database to fuzzy heart relational database an...

s 107 ultimate moment); and productivity Ip = (/mat + /man + It)/Iman. Practically, for the fuzzification process (/mat, Ir,a,, It, and Ia are interpreted as fuzzy goals and Isi and Ip as fuzzy constraints), an exponential membership function lk = e -klxl (where k is the importance coefficient) is proposed. Thus by this procedure, the optimal investment is alternative a3, and the hierarchizatio...

s 107 ultimate moment); and productivity Ip = (/mat + /man + It)/Iman. Practically, for the fuzzification process (/mat, Ir,a,, It, and Ia are interpreted as fuzzy goals and Isi and Ip as fuzzy constraints), an exponential membership function lk = e -klxl (where k is the importance coefficient) is proposed. Thus by this procedure, the optimal investment is alternative a3, and the hierarchizatio...

Fuzzy set theoretical approach to numerous problems of applied mathematics and, especially, fuzzy logical analysis of those problems become frequent in the modern mathematical modelling of the real world. It is desirable to offer the mathematically oriented reader a summary of the background of the principles of fuzzy logic in a lucid and compact form. The referred book aims to offer such summa...

Our purpose is to provide a set-theoretical frame to clustering fuzzy relational data basically based on the cardinality of the fuzzy subsets and their complementaries that represent the objects under study, without applying any crisp property when the various elements that compose the process are fuzzified. From this perspective we define a family of fuzzy similarity indexes which includes a s...

in this paper the fixed point theorem of schauder is used to prove the existence of a continuous solution of the nonlinear fuzzy volterra integral equations. then using some conditions the uniqueness of the solution is investigated.

Attribute-oriented induction is a useful technique that summarizes data of relatively-low values with higher-level concepts. In a large database, it is always beneficial to describe generalized knowledge, rather than lower levels of abstraction. In this paper we modify the concept of AOI and we apply it on a fuzzy relational database. Following the concept proposed by Chen et al. [1] to mine ge...

In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...