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The multi-Interval-Valued fuzzy Soft Set with Application in Decision Making

Applied Mathematics 2015年第8期6卷 1250-1262页

作者： Shawkat Alkhazaleh Department of Mathematics Faculty of Sciences and Art Shaqra University Shaqra Saudi Arabia

In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. By combining the multi-fuzzy set and soft set models, Y. Yang, X. Tan and C. Meng introduced the concept of multi-fuzzy soft sets and studied some of its operations, such as complement, “AND”, “OR”, Union and Intersection. They also gave an algorithm to analyze a decision problem using multi-fuzzy soft set. In this paper, we introduce the concept of multi-interval-valued fuzzy soft set (M-IVFSS). We also define its basic operations, namely complement, union, intersection, AND and OR. Finally, we give an application of this concept in decision-making problem.

关键词： Soft Set fuzzy Soft Set multi-fuzzy Soft Set multi-Interval-Valued fuzzy Soft Set

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Synthesis of Nonlinear Control of Switching Topologies of Buck-Boost Converter Using fuzzy Logic on Field Programmable Gate Array (FPGA)

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Journal of Intelligent Learning Systems and Applications 2010年第1期2卷 36-42页

作者： Johnson A. Asumadu Vaidhyanathan Jagannathan Arkhom Chachavalnanont 不详

An intelligent fuzzy logic inference pipeline for the control of a dc-dc buck-boost converter was designed and built using a semi-custom VLSI chip. The fuzzy linguistics describing the switching topologies of the converter was mapped into a look-up table that was synthesized into a set of Boolean equations. A VLSI chip–a field programmable gate array (FPGA) was used to implement the Boolean equations. Features include the size of RAM chip independent of number of rules in the knowledge base, on-chip fuzzification and defuzzification, faster response with speeds over giga fuzzy logic inferences per sec (FLIPS), and an inexpensive VLSI chip. The key application areas are: 1) on-chip integrated controllers;and 2) on-chip co-integration for entire system of sensors, circuits, controllers, and detectors for building complete instrument systems.

关键词： multi-fuzzy Logic Controller (MFLC) Field Programmable Gate Array (FPGA) Buck-Boost Converter Boolean Look-Up Table Co-Integration

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