This study describes application of some approximate reasoning methods to analysis of hydrocyclone performance. In this manner, using a combining of Self Organizing Map (SOM), Neuro-Fuzzy Inference System (NFIS)-SONFISand Rough Set Theory (RST)-SORST-crisp and fuzzy granules are obtained. Balancing of crisp granules and non-crisp granules can be implemented in close-open iteration. Using differ...

A fuzzy rough granular self-organizingmap (FRGSOM) involving a 3-dimensional linguistic vector and connection weights, defined in an unsupervised manner, is proposed for clustering patterns having overlapping regions. Each feature of a pattern is transformed into a 3-dimensional granular space using a π-membership function with centers and scaling factors corresponding to the linguistic terms l...

Abstract In this paper, definitions of knowledge granulation and rough entropy are proposed based on dominance relations in incomplete fuzzy system (fuzzy information system), and important properties are obtained. It can be found that using the definitions can measure uncertainty of an attribute set in the incomplete fuzzy information systems. A matrix algorithm for attributes reduction is acq...

This paper examines granulation structures for stratified rough set approximations. With respect to different level of granulations, various approximations are obtained. Two special types of granulation structures are investigated. A nested sequence of granulations by equivalence relations leads to a nested sequence of rough set approximations. A hierarchical granulation, characterized by a spe...

Researches in granular modeling produced a variety of mathematical models, such as intervals, (higher-order) fuzzy sets, rough sets, and shadowed sets, which are all suitable to characterize the socalled information granules. Modeling of the input data uncertainty is recognized as a crucial aspect in information granulation. Moreover, the uncertainty is a well-studied concept in many mathematic...

Preference analysis is an important task in multi-criteria decision making. The rough set theory has been successfully extended to deal with preference analysis by replacing equivalence relations with dominance relations. The existing studies involving preference relations cannot capture the uncertainty presented in numerical and fuzzy criteria. In this paper, we introduce a method to extract f...

location selection is one of the most important activities in establishment of bank branches. choosing a suitable location have a direct impact on the performance of banks and also facilitating the achievement of other objectives. there are a lot of influential factors on the location selection which are complicated and therefore the traditional methods cannot be used. so we need to have a suit...