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The model of decision-theoretic shadowed sets provides a cost-sensitive approach to three-valued approximation of a fuzzy set on a finite universe. We introduce a semantic meaningful objective function for modeling shadowed sets using the decision theory. This paper is an extension and generalization of the decision-theoretic shadowed sets. We improve the cost-sensitive approach by generalizing the...
This paper introduces a new semisupervised fuzzy algorithm that makes use of must-link and cannot-link constraints. These constraints are applied to the process of finding the optimum α-cut of a dendrogram. We have applied this method to identity identification in digital libraries.
Historically, Computer science emerged from electrical engineering in the 1960s. From the content of some unpublished documents and rather non-well-known papers by Lotfi A. Zadeh it is argued that the emergences of Computer science and Fuzzy Set Theory have been interlinked. Zadeh's task as Chair of the Electrical Engineering Department in Berkeley in the 1960s, his activities in Education of Engineering...
Complex fuzzy sets come in two forms, the standard form, postulated in 2002 by Ramot et al., and the 2011 innovation of pure complex fuzzy sets, proposed by Tamir et al.. In this paper we compare and contrast both forms of complex fuzzy set with type-2 fuzzy sets, as regards their rationales, applications, definitions, and structures. In addition, pure complex fuzzy sets are compared with type-2 fuzzy...
Based on a frame L, fuzzy posets make a good framework of quantitative domain theory. In this paper, we propose the definition of locally order preserving functors between the categories of fuzzy directed-complete posets and show that these functors can preserve adjointness, surjectivity and injectivity of maps having an adjoint.
This paper presents some technical corrections to the paper entitled “Solving Fuzzy Linear Programming Problems with Interval Type-2 RHS” presented at the Systems, Man and Cybernetics 2008 conference at San Antonio - TX. Some clarifications about the proposed method, a full explanation of its behavior, and two application examples are presented to illustrate its results.
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