This paper deals with center of sum defuzzification method via a computationally attractive method, called transformation function method. A technique for deriving the transformation functions for output fuzzy sets with trapezoidal membership functions has been introduced. It is shown that this method enormously reduces number of mathematical operations and amount of memory space required to co...

IndIcatIOnS Indications are as follows: dermatochalasis, skin laxity, eyebrow descent, prominent fat compartments, lacrimal gland descent, suborbicularis brow fat, prominent orbital rim, laxity of the tarsoligamentous sling, and hypertrophic or atrophic orbicularis oculi. 1 Evaluating medical history, brow stability, and levator function will help determine if ptosis is a contributing factor or...

This paper presents and compares two views of the theory of rough sets. The operator-oriented view interprets rough set theory as an extension of set theory with two additional unary operators. Under such a view, lower and upper approximations are related to the interior and closure operators in topological spaces, the necessity and possibility operators in modal logic, and lower and upper appr...

This paper presents and compares two views of the theory of rough sets. The operator-oriented view interprets rough set theory as an extension of set theory with two additional unary operators. Under such a view, lower and upper approximations are related to the interior and closure operators in topological spaces, the necessity and possibility operators in modal logic, and lower and upper appr...

In this paper, we propose a novel fuzzy expert system for detection of Coronary Artery Disease, using cuckoo search algorithm. This system includes three phases: firstly, at the stage of fuzzy system design, a decision tree is used to extract if-then rules which provide the crisp rules required for Coronary Artery Disease detection. Secondly, the fuzzy system is formed by setting the intervals ...

Abstract Picture fuzzy set (PFS) is a direct generalization of the sets (FSs) and intuitionistic (IFSs). The concept PFS suitable to model situations that involve more answers type yes, no, abstain, refuse. In this study, we introduce novel picture (PF) distance measure on basis operation functions membership, non-membership, neutrality, refusal, upper bound function membership two PFSs. We con...

This paper describes a novel nonlinear modeling approach by on-line clustering, fuzzy rules and support vector machine. Structure identification is realized by an on-line clustering method and fuzzy support vector machines, the fuzzy rules are generated automatically. Time-varying learning rates are applied for updating the membership functions of the fuzzy rules. Finally, the upper bounds of t...