Let R be a commutative ring with identity such that R admits at least two maximal ideals. In this article, we associate a graph with R whose vertex set is the set of all proper ideals I of R such that I is not contained in the Jacobson radical of R and distinct vertices I and J are joined by an edge if and only if I and J are not comparable under the inclusion relation. The aim of this article ...

In this paper we use similarity measure for intuitionistic fuzzy sets and apply in real life problem to analyze health problem of agricultural labourers those who are suffering from health hazards due to chemical pollution.

We present a novel approach to RTE that exploits a structure-oriented sentence representation followed by a similarity function. The structural features are automatically acquired from tree skeletons that are extracted and generalized from dependency trees. Our method makes use of a limited size of training data without any external knowledge bases (e.g. WordNet) or handcrafted inference rules....

Similarity measures, originally introduced to express the degree of comparison between two fuzzy sets, can be applied in several ways to digital images. In [1–3] we have shown how similarity measures were used for the construction of image quality evaluation measures. In this paper we illustrate how fuzzy similarity measures can be useful for the comparison of histograms of digital images. We w...

We present some similarity and distance measures between intuitionistic fuzzy sets (IFSs). Thus, we propose two semi-metric distance measures between IFSs. The measures are applied to classification of shapes and handwritten Arabic sentences described with intuitionistic fuzzy information. The experimental results permitted to do a comparative analysis between intuitionistic fuzzy similarity an...

A multi criteria decision making in ranking the bus companies using fuzzy rule is proposed. The proposed method uses the application of fuzzy sets and approximate reasoning in deciding the ranking of the performance of several bus companies. The proposed method introduces data normalization using similarity function which dampens extreme values that exist in the data. The use of the model is su...

For a region-based image retrieval system, performance depends critically on the accuracy of object segmentation. We propose a soft computing approach, unified feature matching (UFM), which greatly increases the robustness of the retrieval system against segmentation related uncertainties. In our retrieval system, an image is represented by a set of segmented regions each of which is characteri...

Fuzzy Similarity measures are used to compare different kinds of objects such as images. Their definitions are based on proximity measures, operations on fuzzy sets etc. which makes different propositions of properties of similarity measures. Consequently, the latter are not common for all similarity measures presented in literature. In this paper we present and discuss the properties of fuzzy ...

We propose a new similarity measure for intuitionistic fuzzy sets (cf. Atanassov [1, 2]) and show its usefulness in medical diagnostic reasoning. We point out advantages of this new concept over the method proposed previously (cf. Szmidt and Kacprzyk [23]) where distances were used instead of the proposed similarity measure.

Convexity represents a fundamental descriptor of object shape. This paper presents a new convexity measure for both open and closed simple contours. Given such a contour this measure extracts two corresponding open convex hulls. The shape similarity between these two hulls and the original contour is then computed and normalized to give a measure of convexity. The time complexity of the propose...