We consider weighted tree automata with discounting over commutative semirings. For their behaviors we establish a Kleene theorem and an MSOlogic characterization. We introduce also weighted Muller tree automata with discounting over the max-plus and the min-plus semirings, and we show their expressive equivalence with two fragments of weighted MSO-sentences.

Properties of fuzzy complementary preference relation have been studied. Based on the transformation between fuzzy complementary preference relation and reciprocal fuzzy preference relation, this paper proposes definitions of additive consistency for fuzzy complementary preference relation, gives the concepts of restricted max-min transitivity, restricted max-max transitivity and weak monotonic...

In the literature, the solution set of a system of bipolar fuzzy relational equations with max-min composition can be characterized by a finite set of maximal and minimal solution pairs. However, some researches presented that determining the consistency of a system of bipolar fuzzy relational equations is NP-complete. Namely, the solution procedure for solving a system of bipolar fuzzy relatio...

Kim, M.H., J.H. Lee and Y.J. Lee, Analysis of fuzzy operators for high quality information retrieval. Information Processing Letters 46 (1993) 251-256. It has been argued that the conventional fuzzy set model based on the MIN and MAX operators is not appropriate for a model of information retrieval systems due to the properties of the MIN and MAX operators adverse to retrieval effectiveness. In...

Picture fuzzy relation is an important and powerful concept which suitable for describing correspondences between objects. It represents the strength of association elements picture sets. In this paper we have defined min-max composition relations some properties are explored based on definition. Also discussed max-min relations. Finally, application as illustration to show how applied in decis...

This paper proposes a novel system for color image segmentation called “Adaptive color image segmentation using fuzzy min-max clustering (ACISFMC)”. The present work is an application of Simpson’s fuzzy min-max neural network (FMMN) clustering algorithm. ACISFMC uses a multilayer perceptron (MLP) like network which perform color image segmentation using multilevel thresholding. Threshold values...

Current-mode CMOS implementations of a membership function circuit, min-max operators, and a defuzzifier circuit are proposed in this paper. The programmability of the proposed Gaussian-type function fuzzifier is achieved by varying the gate reference voltages and the sizes of transistors in the differential pairs. A closed-loop control scheme is employed between the fuzzifier and defuzzifier b...

This work presents an automated method of segmentation of faces in color images with complex backgrounds. Segmentation of the face from the background in an image is performed by using face color feature information. Skin regions are determined by sampling the skin colors of the face in a Hue Saturation Value (HSV) color model, and then training a fuzzy min-max neural network (FMMNN) to automat...

Recently, a multi-level fuzzy min max neural network (MLF) was proposed, which improves the classification accuracy by handling an overlapped region (area of confusion) with the help of a tree structure. In this brief, an extension of MLF is proposed which defines a new boundary region, where the previously proposed methods mark decisions with less confidence and hence misclassification is more...

We propose a new technique named Fuzzy Max–Min Composition to Study the Sanchez's approach for Medical Diagnosis [13] and with the notion IFS [15].