The roughness of a rough set arises from the existence of its boundary region. In such a boundary region, each object has a non-zero rough membership degree. When an object’s rough membership degree is regarded as its fuzzy membership degree, a rough set can induce a fuzzy set. This relationship motivates us to assert that there may exist some inherent relations between the roughness of a rough...

An autoadaptive neuro-fuzzy segmentation and edge detection architecture is presented. The system consist of a multilayer perceptron (MLP)-like network that performs image segmentation by adaptive thresholding of the input image using labels automatically pre-selected by a fuzzy clustering technique. The proposed architecture is feedforward, but unlike the conventional MLP the learning is unsup...

Landslides are a natural hazard that is unpredictable, but we can prevent them. The Landslide Susceptibility Index reduces the uncertainty of living with landslides significantly. Planning and managing landslide-prone areas critical. Using most optimistic deep neural network techniques, proposed work classifies analyses severity landslide. selected experimental study area Kerala’s Idukki distri...

Based on the complement behavior of information gain, a new definition of information entropy is proposed along with its justification in rough set theory. Some properties of this definition imply those of Shannon’s entropy. Based on the new information entropy, conditional entropy and mutual information are then introduced and applied to knowledge bases. The new information entropy is proved t...

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an o...

This paper proposes an entropy method for diversified fuzzy portfolio selection. Proportion entropy is introduced and credibilistic mean-variance and mean-semivariance diversification models for fuzzy portfolio selection are proposed. The crisp forms of the proposed models are also provided when the security returns are all triangular fuzzy variables. As an illustration, an application example ...

Here, we propose a mathematical model to analyze bimatrix game under entropy environment. In this new approach, the entropy function for each player are considered as objectives to the bimatrix game. This formulated model is named as Entropy Bimatrix Game Model which is a multi-objective non linear problem. To solve this kind of model, we have introduced a new solution technique, which determin...

Combining the concepts of balanced scorecard, fuzzy set theory and entropy, a systematic fuzzy multiple criteria decision making (MCDM) for airlines operating performance evaluation is proposed. A hierarchical structure is constructed through the concept of balance scorecard includes four perspectives: finance, customers, internal business processes, and learning and growth. The triangular fuzz...