Book Chapter10.1016/B978-0-12-775260-0.50007-4
Fuzzy programs and their execution
K. Tanaka,M. Mizumoto +1 more
- 01 Jan 1975
- pp 41-76
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TL;DR: The chapter presents a computer simulation of the process of human learning by making use of the concept of fuzzy program and learning algorithm.
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Abstract: Publisher Summary This chapter discusses several methods that translate a given sequence of fuzzy instructions into another sequence of precise instructions called a machine program. A finite-state automaton is taken up as a fuzzy machine model that executes a fuzzy program. The chapter presents the formulation of an extended fuzzy machine based on a generalized automaton and a few procedures for execution of fuzzy programs. An L-fuzzy automaton with the weight space defined in the lattice ordered semigroup is considered as a general machine. Several machines are also derived from L-fuzzy automata as their specific examples. The chapter discusses a more general way of executing fuzzy programs by making use of the generalized fuzzy machine. The chapter presents a computer simulation of the process of human learning by making use of the concept of fuzzy program and learning algorithm.
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Citations
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Methods and Applications of Fuzzy Mathematical Programming
Hans-Jürgen Zimmermann
- 01 Jan 1992
TL;DR: In spite of other uses of the term “mathematical programming” it shall be interpreted here as it is normally done in Operations Research, i.e. an algorithmic approach to solving models of the type maximize f(x) such that i = 0, i = 1, and m = 1.
33
L.P.L.—A fuzzy programming language: 2. Semantic aspects
TL;DR: The language that is presented in this paper and in a forthcoming one is a new language aiming at an implementation of the concepts of the fuzzy sets theory, and the syntactic aspects of L.P.L.L are described, i.e., the data declarations structure, the statements structure, as well as the semantics of the control structure of programs.
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References
Quantitative fuzzy semantics
TL;DR: In this paper, the authors define a language, L, as a fuzzy relation from a set of terms, T = x, to a universe of discourse, U = y, and define a fuzzy set, M(x), in U whose membership function is given by @m"M" ("x")(y) =@m"L(x,y).
600
General formulation of sequential machines
Eugene S. Santos,William G. Wee +1 more
TL;DR: An attempt is made to extract the basic properties common to all these machines and develop from it a general formulation of sequential machines.
101
On the Execution of Fuzzy Programs Using Finite-State Machines
TL;DR: An abstract model for the execution of fuzzy programs using finite-state machines is described and it is shown that the performance function λ of a fuzzy machine M can be effectively constructed so that the program searching cost of an elementary fuzzy program, a number of elementary fuzzy programs, or a regular fuzzy program is minimized.
48
Various kinds of automata with weights
TL;DR: By extracting the basic properties common to the automata appeared in existing literatures, a general formulation of automata with ?
17