Zimmermann has shown that the fuzzy multi-objective program (FMOP) can be reduced to a standard linear program. While a linear membership function allows an easy conversion of FMOP into a linear programming problem, it should be obvious that such a function may be unsuitable for certain problems. It is generally admitted that membership functions are most likely nonlinear. One of the promising ...

We propose two methods for tuning membership functions of a kernel fuzzy classifier based on the idea of SVM (support vector machine) training. We assume that in a kernel fuzzy classifier a fuzzy rule is defined for each class in the feature space. In the first method, we tune the slopes of the membership functions at the same time so that the margin between classes is maximized under the const...

This paper proposes a fuzzy goal programming based on Taylor series for solving decentralized bilevel multiobjective fractional programming (DBLMOFP) problem. In the proposed approach, all of the membership functions are associated with the fuzzy goals of each objective at the both levels and also the fractional membership functions are converted to linear functions using the Taylor series appr...

In this paper, we propose fuzzy linear programming support vector machines (LP-SVMs) that resolve unclassifiable regions for multiclass problems. Namely, in the directions orthogonal to the decision functions obtained by training the LP-SVM, we define membership functions. Then by the minimum or average operation for these membership functions we define a membership function for each class. We ...

This paper is concerned with the fault detection (FD) problem for Takagi–Sugeno (T–S) fuzzy systems with unknown membership functions. If the membership functions are unknown, the linear FD filter designs with fixed gains have been considered in the literature. To reduce the conservatism of the existing results, a switching mechanism that depends on the lower and upper bounds of the unknown mem...

defuzzifier circuit is one of the most important parts of fuzzy logic controllers that determine the output accuracy. the center of gravity method (cog) is one of the most accurate methods that so far been presented for defuzzification. in this paper, a simple algorithm is presented to generate triangular output membership functions in the mamdani method using the multiplier/divider circuit and...

in this paper, the consequences of well-known characteristics of near-fault ground motions, forward directivity and fling step, on the seismic response control is investigated. an integrated fuzzy rule-based control strategy for building structures incorporated with semi active friction damping system with amplifying braces (fdsab) is developed. the membership functions and fuzzy rules of fuzzy...

This paper deals with fuzzy goal programming approach to quadratic bi-level multi-objective programming problem involving a single decision maker with multiple objectives at the upper level and a single decision maker with multiple objectives at the lower level. The objective functions of each level decision maker are quadratic in nature and the system constraints are linear functions. In the m...

Fuzzy Logic Controllers are knowledge-based systems, incorporating human knowledge into their Knowledge Base through Fuzzy Rules and Fuzzy Membership Functions. The deenition of these Fuzzy Rules and Fuzzy Membership Functions is generally aaected by subjective decisions, having a great innuence over the performance of the Fuzzy Controller. In some cases, the Membership Functions are deened wit...