In this paper, two similarity measures are proposed: one for the similarity between rough sets in the classical rough set theory based on indiscernibility relation and the other between rough sets in the extended rough set theory based on limited tolerance relation. The proposed measures can provide a useful way for measuring the degree of similarity between rough sets. Key-words: Rough set; In...

An intuitionistic fuzzy set (IFS), an extended version of a fuzzy set, is more applicable for representing vague information since it provides a way to control a degree of hesitation. One of most prominent research directions on the theory of IFSs is measurement of similarity between IFSs. Even several similarity measures have been proposed, some unreasonable cases can be made by such measures....

Representation of features of items and user feedbacks that are subjective, incomplete, imprecise and vague, and reasoning about their relationships are major problems in recommender systems. The paper presents a Fuzzy Theoretic Method (FTM) for recommender systems that handles the non-stochastic uncertainty induced from subjectivity, vagueness and imprecision in the data, and the domain knowle...

The main attribution of this paper is to propose two methods to construct entropy of interval valued fuzzy sets (IVFSs). First, we use an IVFS to construct two FSs and define entropy by similarity measure of the two FSs; then we use an IVFS to construct two IVFSs and also define entropy by similarity measure of the two IVFSs. At the same time, we give two examples to show that our methods are e...

We present a new information theoretic approach to measure the semantic similarity between concepts. By exploiting advantages of distance (edge-base) approach for taxonomic tree-like concepts, we enhance the strength of information theoretic (node-based) approach. Our measure therefore gives a complete view of word similarity, which cannot be achieved by solely applying node-based approaches. O...

Semantic similarity and relatedness measures between ontology concepts are useful in many research areas. While similarity only considers subsumption relations to assess how two objects are alike, relatedness takes into account a broader range of relations (e.g., part-of). In this paper, we present a framework, which maps the feature-based model of similarity into the information theoretic doma...

scott and szewczyk in technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f< >=< >< >wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞< >=∫sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .however, due to some restrictions on the value of parameters and the kind of densities, ...

The need for a more effective similarity measure is growing as a result of the astonishing amount of information being placed online. Most existing similarity measures are defined by empirically derived formulas and cannot easily be extended to new applications. We present a pairwise document similarity measure based on Information Theory, and present corpus dependent and independent applicatio...