This paper considers the automatic design of fuzzy rule-based classification systems from labeled data. The classification accuracy and interpretability of generated rules are of major importance in fuzzy classification systems. We propose a weighting function for compatibility grade of patterns that improves the performance of fuzzy classification system without degrading the interpretability ...

This paper proposes an adaptive method to construct a fuzzy rule-based classification system with high performance for pattern classification problems. The proposed method consists of two procedures: an error correction-based learning procedure and an additional learning procedure. The error correction-based learning procedure adjusts the grade of certainty of each fuzzy rule by its classificat...

In this work we introduce the concept of Atanassov’s intuitionistic fuzzy index of a hypergroupoid based on the notion of intuitionistic fuzzy grade of a hypergroupoid. We calculate it for some particular hypergroups, making evident some of its special properties.

In a recent paper, Osherson and Smith (198 1 i present an insig of some of the contending approaches to prototype theory and arrive a.l: the conclusiii3n that the theory of fuzzy sets does not provide a satisfactory solution to the problems that stand in the v~ay of constructing an adequate theory of prototypes. In what follows, the issues raised by Osherson and Smith are commented upon and an ...

Five classifiers including the K-means, Fuzzy c-means, K-nearest neighbour, Multi-Layer Perceptron Neural Network and Probabilistic Neural Network classifiers are compared for application to colour grade classification and detection of bruising of Granny Smith apples. A number of suitable discriminate features are determined heuristically for the categorisation of four classes including: high g...

This study aims at developing a fuzzy approach for the educational grading systems. Through this logic-based card is suggested. The system based on crisp just deals with numbers. Fuzziness, being an important property of language, motivates us to work and in environment. Before discussing actual grade some introduction about key concepts given readers. We have also analyzed difference evaluatin...

Paraconsistent intuitionistic fuzzy set is an extension of intuitionistic fuzzy set or interval-valued fuzzy set. It relaxes the requirement that t + f ≤ 1, where t is grade of truth-membership and f is grade of false-membership. In paraconsistent intuitionistic fuzzy set, t, f ∈ [0, 1], 0 ≤ t + f ≤ 2. In this paper, we present a generalization of the relational model of data based on paraconsi...

In an earlier paper, we derived explicit Fourier series expressions for systematic computation of grade of membership in the overlap and non-overlap regions of triangular fuzzy sets; and by implication, computation of union and intersection of the fuzzy sets. In this paper, we hereby extend the methodology to cover cases of the cosine, exponential and Gaussian fuzzy sets by presenting explicit ...

The problem of evaluation of agricultural land suitability is consid­ ered as a fuzzy modeling task. For assessment of land suitability, it is proposed to use fuzzy indicators. Application of individual fuzzy indicators gives oppor­ tunity for assessment of suitability of lands as degree or grade of performance when the lands are used for agricultural purposes. Using composite fuzzy indi­ cator...

The aim of this paper is the study of the sequence of join spacesand fuzzy subsets associated with a hypergroupoid. In thispaper we give some properties of the membership function$widetildemu_{otimes}$ corresponding to the direct pro-duct oftwo hypergroupoids and we determine the fuzzy grade of thehypergroupoid $langle Htimes H, otimesrangle$ in a particularcase.