In 2004 Fullér and Majlender introduced the notion of covariance between fuzzy numbers by their joint possibility distribution to measure the degree to which they interact. Based on this approach, in this paper we will present the concept of possibilistic correlation representing an average degree of interaction between marginal distributions of a joint possibility distribution as compared to t...

Linear equality systems with fuzzy parameters and crisp variables defined by the Zadeh’s extension principle are called possibilistic linear equality systems. This study focuses on the problem of stability (with respect to small changes in the membership function of fuzzy parameters) of the solution in these systems.

We revisit Zadeh's notion of "evidence the second kind" and show that it provides foundation for a general theory epistemic random fuzzy sets, which generalizes both Dempster-Shafer belief functions possibility theory. In this perspective, deals with generated by while induced sets. The more allows us to represent combine evidence is uncertain fuzzy. demonstrate application formalism statistica...

World Wide Web is a huge repository of web pages and links. It provides abundance information for the Internet users. The growth of web is incredible as it can be seen in present days. Users’ accesses are recorded in web logs. From the user’s perspective, it is very difficult to extract useful knowledge from the huge amount of information and secondly, it is also difficult to extract for the us...

Due to this uncontrollable growth of data, clustering played major role to partition into a small sets to do relevant processes within the small sets. Recently, the privacy and security are extra vital essentials when data is large and the data is distributed to other sources for various purposes. According to that, the privacy preservation should be done before distributing the data. In this s...

Mammography is an effective imaging modality of breast cancer abnormalities detection. Survival rate of breast cancer treatment can be increased via early detection of mammography. However detecting the mass in the early stage is a tough task for radiologist. Detection of suspicious abnormalities is a continual task. Out of thousand cases only 3 to 4 are analyzed as cancerous by a radiologist a...

Human reasoning is characterized by a degree of fuzziness and uncertainty. In the present paper we develop a fuzzy model for a better description of the reasoning process and we use the fuzzy systems’ total possibilistic uncertainty as well as the classical Shannon’s entropy (properly modified for use in fuzzy environments) in measuring the individuals’ reasoning skills. Classroom experiments a...

Cancer is a disease in which abnormal cells of the body divide very fast, and generate excessive tissue that forms a tumor. Cancer cells are capable of spreading to other parts of the body through the blood and lymph systems. When the uncontrolled cell growth occurs in one or both lungs, it is said to be Lung Cancer. Besides, developing into a healthy, normal lung tissue, these abnormal cells c...

The interpretation of membership functions of fuzzy sets as statistical likelihood functions leads to a probabilistic-possibilistic hierarchical description of uncertain knowledge. The fundamental advantage of the resulting fuzzy probabilities with respect to imprecise probabilities is the ability of using all the information provided by the data. This paper studies the possibility of using fuz...