In this paper, we introduce and study a random variational-like inclusion and its corresponding random proximal operator equation for random fuzzy mappings. It is established that the random variational-like inclusion problem for random fuzzy mappings is equivalent to a random fixed point problem. We also establish a relationship between random variational-like inclusion and random proximal ope...

Abstract— CBIR in medical image databases are used to assist physician in diagnosis the diseases and also used to aid diagnosis by identifying similar past cases. In order to retrieve a fast, accurate and an effective similarity of images from the large data set. The pre-processing step is extraction of brain. It removes the unwanted non-brain areas like scalp, skull, neck, eyes, ear etc from t...

In this paper, we try to detect mechanical faults of induction motors. For this goal, the stator line current of motor is considered. Wavelet Packet Decomposition of this signal can provide good information about the occurrence, type and size of the fault. But it is better to have more understandable concept for an operator to find fault. Hence, fuzzy system is applied to wavelet features. Ecce...

Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

A change detection approach for SAR images based on contourlet image fusion and fuzzy clustering .In this method difference image is generated from log ratio and mean ratio images by image fusion technique. In order to restrain the background information and enhance the information of changed regions in the fused difference image, wavelet fusion rules and contourlet fusion rules based on an ave...

We introduce a new class of wavelets that behave like a given differential operator L. Our construction is inspired by the derivative-like behavior of classical wavelets. Within our framework, the wavelet coefficients of a signal y are the samples of a smoothed version of L{y}. For a linear system characterized by an operator equation L{y} = x, the operator-like wavelet transform essentially de...

Probably the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new families of wavelets that behave like an arbitrary scale-covariant operator. Our extension is general and includes many known wavelet bases. At ...

in this paper, new definitions of $l$-fuzzy closure operator, $l$-fuzzy interior operator, $l$-fuzzy remote neighborhood system, $l$-fuzzy neighborhood system and $l$-fuzzy quasi-coincident neighborhood system are proposed. it is proved that the category of $l$-fuzzy closure spaces, the category of $l$-fuzzy interior spaces, the category of $l$-fuzzy remote neighborhood spaces, the category of ...