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The concept of an L-fuzzy set generalizes not only the concept of a fuzzy set but also the concepts of interval-valued fuzzy sets and intuitionistic fuzzy sets (as will become clear in this paper). In addition, the class of L-fuzzy sets forms a complete lattice whenever the underlying set L constitutes a complete lattice. Based on these observations, we develop a general approach towards L-fuzzy mathematical...
Various approaches have been proposed to perform concept approximation using a concept lattice developed from a formal context. This paper reviews several of these approaches and examines the relationships among them. Since concept approximation is also strongly related to determining the similarity between concepts within a concept lattice, a variety of methods for measuring concept similarity are...
In this paper an objective fuzzy approach for fast and accurate porosity vision based inspection is presented. An automated methodology of detection of pores, which are formed in aluminum alloys during production of water-pumps for car engines with the die casting method, is described. The proposed method is based on the correlation of the core of pore candidates with twelve developed matrices resulted...
In local version (lbest) of particle swarm optimization (PSO), each particle has only the information of its own and its neighbors' best, rather than all the population. The neighborhood of each particle is generally defined as topologically nearest particles to such particle at each side. There is no robust approach for determining the neighborhood size in the literature and all of them rely on try...
This paper focuses on statistical independence of multiple variables from the viewpoint of linear algebra. While information granules of statistical independence of two variables can be viewed as determinants of 2 times 2- submatrices, those of three variables consist of several combination s of determinants. However, this combination can be viewed as a linear sum over the all combinarial pairs of...
When computing a square root, computers still, in effect, use an iterative algorithm developed by the Babylonians millennia ago. This is a very unusual phenomenon, because for most other computations, better algorithms have been invented - even division is performed, in the computer, by an algorithm which is much more efficient that division methods that we have all learned in school. What is the...
Fuzzy logic allows for logical operators that are completely different from those of Boolean logic. This paper examines functions that compose with themselves to produce negation. This paper examines three types of tools that allow us to analyze this, and similar questions about fuzzy logic.
This paper extends FSM, a recently proposed semantic data model that supports fuzziness, imprecision and uncertainty of real-world. More precisely, the paper proposes four new concepts, decisional grouping, inhibition, multiplicity and selection, which allows enhancing the modeling of real-world applications. It integrates these concepts in FSM by the definition of new decision rules.
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