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In this paper, we propose to present a novel numerical information fusion method at the feature level. This method is based on the possibility theory using the Beta function and the type1 fuzzy theory. In this method, we proceed to estimate the possibility distribution of the numerical features by using the Beta function. So, we constitute the Beta-possbilistic knowledge base. Then, this Beta-possibilistic...
Navigation of mobile robots in dynamic and unknown environments is usually cluttered with noise and errors. In the literature, several solutions have been proposed. Recently, type-2 fuzzy logic have showed having the ability to handle uncertainties, imprecise and incomplete data. Since, it has been constituted a new hopeful and promising technique for further improve control of mobile robots in real...
The problems of our life can have many solutions (alternatives) and can be resolved based on different criteria (attributes). Thus, different weight methods exist on literature to accord an importance for each criteria. In this work TOPSIS, multi-criteria decision making (MCDM) method is presented using intuitionistic fuzzy data set with different techniques of weight proposed in literature. Therefore,...
We introduce a new method Near-Fuzzy set for analysis image. Indeed, near sets are considered a generalization of the rough sets theory. A set X is close to another set Y insofar as the description of at least one of the object of X corresponds to the description of least one of objects of Y. Find the tolerance classes with objects of the same description is a major problem. Maximal Clique Enumeration...
The automated evolutionary design of an optimal hierarchical fuzzy system combined with the use of Interval Type-2 Fuzzy Systems and the Beta basis function is considered in this study. The resulted proposed system is named the Hierarchical interval Type-2 Beta Fuzzy System (HT2BFS). For the learning process, two main optimizations steps are considered. The first one executes the structure learning...
This work is interested to show the importance of possibility theory in multi-criteria decision making (MCDM). Thus, we apply some intuitionistic fuzzy possibility measures from literature to the MCDM method using intuitionistic fuzzy sets (IFSs). These measures are applied to a decision matrix after being transformed with intuitionistic aggregation operators. The results are compared to previous...
Intuitionistic fuzzy sets (IFSs) are used in methods of multi-criteria decision making. Some techniques are used in each method to use intuitionistic fuzzy information. Therefore, crisp methods can be changed to use IFSs information. The latter are used in Technique for order performance by similarity to ideal solution (TOPSIS), Analytic Hierarchy Process (AHP) and in VIKOR. We apply These methods...
In MCDM problems some criteria (attributes) having different importance are used to determine a best alternative from many. Thus, different weight methods exist in literature to evaluate the importance of each criteria. In this work TOPSIS, multi-criteria decision making (MCDM) method is applied using crisp data set with different techniques of weight proposed in literature. Therefore, intuitionistic...
Numerous similarity measures between intuitionistic fuzzy sets are proposed in literature using different approaches. In this paper, relationship between some existing intuitionistic fuzzy similarity and distance measures are investigated. These relations are paramount for the choice of a similarity or a distance measure and its application for any research topic.
We present a comparative study between fuzzy similarity measures applied to shape recognition and Arabic sentences recognition described with fuzzy features. The objective is to demonstrate that the choice of a fuzzy similarity is important and can influence results in any research topic.
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