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On Fusion of Soft and Hard Computing: Traditional (“Hard Computing”) Optimal Rescaling Techniques Simplify Fuzzy Control

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • Hugh F. VanLandingham

    (Virginia Polytechnic Institute and State University, The Bradley Department of Electrical Engineering)

  • Vladik Kreinovich

    (University of Texas at El Paso, Department of Computer Science)

Abstract

One of the main objectives of fuzzy control is to translate expert rules –formulated in imprecise (“fuzzy”) words from natural language– into a precise control strategy. This translation is usually done in two steps. First, we apply a fuzzy control methodology to get a rough approximation of the expert’s control strategy, and then we tune the resulting fuzzy control system. The first step (getting a rough approximation) is well analyzed. Having an expert’s intuitive understanding enables us to use soft computing techniques to perform in this step. At this first step, we only use expert rules. Then, we test the resulting control on a real or simulated system and tune the resulting control based on the results of this testing. This second (tuning) step is much more difficult: we no longer have any expert understanding of which tuning is better, and therefore, soft computing techniques are not that helpful. In this chapter, we present a particular case of the tuning problem as a traditional optimization problem and solve it by using traditional (“hard computing”) techniques. In a practical industrial control example, we show that the resulting fusion of soft computing (for a rough approximation) and hard computing (for tuning) leads to high-quality control.

Suggested Citation

  • Hugh F. VanLandingham & Vladik Kreinovich, 2023. "On Fusion of Soft and Hard Computing: Traditional (“Hard Computing”) Optimal Rescaling Techniques Simplify Fuzzy Control," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 73-86, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-35668-1_4
    DOI: 10.1007/978-3-031-35668-1_4
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