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Showing papers on "Neuro-fuzzy published in 1976"


Journal ArticleDOI
TL;DR: It is proposed that adaptive techniques in linguistic controllers currently being studied may provide a useful possible approach to the use of fuzzy logic in the synthesis of controllers for dynamic plants.
Abstract: The purpose of this article is to survey the field of application of fuzzy logic in the synthesis of controllers for dynamic plants. A brief tutorial on the method of approach is also included here. Several groups of workers are currently studying various aspects of fuzzy controllers. For each such group a short account is given on the area of investigation undertaken. This along with the list of references provided here should give a broad picture of ongoing research on fuzzy controllers. Although most work is conducted using pilot scale or simulated plants, there are prospects also of an eventual application to a real plant. Some of the problems underlying actual application of fuzzy controllers are mentioned. These principally amount to the use of heuristics in plant controllers and the question of how to obtain an effective set of rules for a given plant. It is proposed that adaptive techniques in linguistic controllers currently being studied may provide a useful possible approach.

920 citations


Journal ArticleDOI
TL;DR: The problem of borderline cases in set theory and the two classical approaches of precisifying them out, or admitting them as a third case, are discussed, leading to Zadeh's suggestion of continuous degrees of set membership.
Abstract: This paper gives an overview of the theory of fuzzy sets and fuzzy reasoning as proposed and developed by Lotfi Zadeh. In particular it reviews the philosophical and logical antecedents and foundations for this theory and its applications. The problem of borderline cases in set theory and the two classical approaches of precisifying them out, or admitting them as a third case, are discussed, leading to Zadeh's suggestion of continuous degrees of set membership. The extension of basic set operations to such fuzzy sets, and the relationship to other multivalued logics for set theory, are then outlined. The fuzzification of mathematical structures leads naturally to the concepts of fuzzy logics and inference, and consideration of implication suggests Łukasiewicz infinite-valued logic as a base logic for fuzzy reasoning. The paradoxes of the barber, and of sorites, are then analysed to illustrate fuzzy reasoning in action and lead naturally to Zadeh's theory of linguistic hedges and truth. Finally, the logical, modeltheoretic and psychological derivations of numeric values in fuzzy reasoning are discussed, and the rationale behind interest in fuzzy reasoning is summarized.

327 citations


Journal ArticleDOI
TL;DR: A new type of experiment is proposed to better understand the fuzzy behaviour of a human operator in a man-machine system and ought to provide a much better understanding of the operator's fuzzy algorithm for adapting his experience to the development of the fuzzy algorithms for the new task.
Abstract: A new type of experiment is'proposed to better understand the fuzzy behaviour of a human operator in a man-machine system. The published applications of fuzzy set theory to the control of a simple steam engine are used as a convenient example to illustrate how some of the current applications of fuzzy set theory may be modified to carry out this type of experiment. The rationale for this proposal is developed by reviewing studies of the classification of human height and applications of fuzzy set theory to handwritten character recognition and control system design. Based on this brief review, both the results to be expected from such an experiment and how they might be analyzed are discussed. A key result is that such experiments ought to provide a much better understanding of the operator's fuzzy algorithm for adapting his experience to the development of the fuzzy algorithm for the new task.

206 citations


Proceedings ArticleDOI
25 May 1976
TL;DR: An avenue for further work in this area is described where the need is to go beyond a purely descriptive approach, and means for implementing a prescriptive or a self-organizing system are explored.
Abstract: This paper describes an application of fuzzy logic in designing controllers for industrial plants. A Fuzzy Logic is used to synthesise linguistic control protocol of a skilled operator. The method has been applied to pilot scale plants as well as in a practical industrial situation. The merits of this method in its usefulness to control engineering are discussed. This work also illustrates the potential for using fuzzy logic in modelling and decision making. An avenue for further work in this area is described where the need is to go beyond a purely descriptive approach and explore means by which a prescriptive system may be implemented.

130 citations


Journal ArticleDOI
TL;DR: A mathematical model of information retrieval system based on the concept of fuzzy thesaurus is presented, which makes it possible to retrieve documents with the highest degree of relevance to the information requests of the users of the information system.
Abstract: The object of this paper is to present a mathematical model of information retrieval system based on the concept of fuzzy thesaurus. For this purpose the mathematical methods of A. Zadeh's theory of fuzzy sets have been used. The application of the theory of fuzzy sets to the description of information retrieval system makes it possible (1) to take into account the fact that the degrȩe of importance of the particular terms in the search patterns of the particular documents and information requrets is of a continuous character, (2) to formalize the relations between terms describing documents and information requests (fuzzy thesaurus). The use of simple operations of the theory of fuzzy sets makes it possible to retrieve documents with the highest degree of relevance to the information requests of the users of the information system.

82 citations


Journal ArticleDOI
TL;DR: A theorem is presented which allows an arbitrary relation matrix to be translated into a set of fuzzy control rules and it is shown that the implementation of the algorithm does not affect its structure and that the most meaningful way of altering its performance is to change the rules themselves.
Abstract: This paper uses the relation matrix to examine the structure of fuzzy control algorithms. After introducing some basic notations and definitions, it presents a theorem which allows an arbitrary relation matrix to be translated into a set of fuzzy control rules. Using this result it is possible to show that the implementation of the algorithm does not affect its structure and that the most meaningful way of altering its performance is to change the rules themselves.

67 citations


Journal ArticleDOI
01 Apr 1976
TL;DR: This letter describes the implementation of control systems designed using fuzzy algorithms and fuzzy logic and the resulting technique employs lookup tables, particularly when applied to short-word-length digital control systems.
Abstract: This letter describes the implementation of control systems designed using fuzzy algorithms and fuzzy logic. The resulting technique employs lookup tables. An assessment is made of the suitability of such tables, particularly when applied to short-word-length digital control systems. An interpreter program which can be used to generate the required lookup tables is also described.

52 citations


Journal ArticleDOI
TL;DR: To show how a fuzzy program is executed, a simulation system is exploited which controls a simple inchworm robot and fuzzy instructions are translated into machine instructions by the use of MAX-METHOD and backtracking.
Abstract: A fuzzy program is defined as an ordered sequence of fuzzy instructions. In the execution of a fuzzy program, fuzzy instructions are translated into machine instructions by the use of MAX-METHOD and backtracking. To show how a fuzzy program is executed, a simulation system is exploited which controls a simple inchworm robot. A few examples of computer simulations are presented which deal with the behavior of a stranger (or a robot) searching for his destination in a modeled town under simple fuzzy instructions.

42 citations


Journal ArticleDOI
TL;DR: A method for the analysis of fuzzy systems using the concept of fuzzy sets is proposed, which enables us to represent quantitatively the sum (or product) of fuzzy variables like large and small, and the convolution of fuzzy sequences.
Abstract: The behaviour of the humanistic systems is too complex or too ill-defined to be analysed using definitive mathematics. In this paper we propose a method for the analysis of such systems using the concept of fuzzy sets. The methods for the manipulation of fuzzy variables are considered. These methods enable us to represent quantitatively the sum (or product) of fuzzy variables like large and small, and the convolution of fuzzy sequences. Since, while working with fuzzy variables, the data may become enormous, a technique for the data reduction is proposed. Using these techniques for the manipulation of fuzzy variables we are in a position to analyse fuzzy systems.

34 citations


Proceedings ArticleDOI
07 Jun 1976
TL;DR: A fairly exhaustive introduction to the theory and applications of fuzzy sets lists 238 papers dealing with a great variety of recent investigations.
Abstract: The notion of fuzzy sets---sets with imprecise boundaries---is a natural cornerstone upon which to build algorithms based on approximate reasoning. Since their inception in 1965 by Zadeh, fuzzy sets have led to first steps towards quantifying data analysis in many fields previously immune to mathematical examination. A fairly exhaustive introduction to the theory and applications of fuzzy sets lists 238 papers dealing with a great variety of recent investigations.

31 citations


Journal ArticleDOI
TL;DR: In this paper, a general formulation of fuzzy programs or fuzzy algorithms is introduced and the relationship between this formulation and other existing formulations is studied.

Journal ArticleDOI
TL;DR: Some applications of fuzzy set theory in the area of communications and information systems are examined, which have direct applications in fuzzy communication, fuzzy problem-solving, fuzzy information retrieval, and fuzzy teleconferencing.
Abstract: In this paper we shall examine some applications of fuzzy set theory in the area of communications and information systems. With the advent of computers, the telephone and the television, there are potentialities of all kinds of communication services into the home. Fuzzy problems are very likely to occur with user groups requesting methods to understand fuzzy needs. Thus problems in fuzzy communication, fuzzy problem-solving, fuzzy information retrieval, and fuzzy teleconferencing have direct applications of fuzzy set theory, which are considered.

Book ChapterDOI
01 Jan 1976
TL;DR: The present paper should mainly be considered as an elementary introduction to the motivations for using fuzzy concepts, with special stress on providing arguments of rationality for the underlying logic.
Abstract: The present paper should mainly be considered as an elementary introduction to the motivations for using fuzzy concepts. We laid especial stress on providing arguments of rationality for the underlying logic. Some generalizations and applications of fuzzy sets have also been considered. For lack of space it was however not possible even to mention some applications in the following interesting fields: game — and decision theory, automata and algorithms, pattern recognition and cluster analysis. Also we will not report about progress in fuzzy algebra, fuzzy topological spaces, fuzzy graphs and so on. Some of these topics will be treated by other authors in this book some other fields, especially decision theory and its foundation, will be investigated by the present author in the near future.

Book ChapterDOI
01 Jan 1976
TL;DR: Fuzzy clustering, fuzzy categories and fuzzy systems are presented as possible models of social phenomena, suggesting their possible extensions in the field of social sciences.
Abstract: A general account of some techniques applied in the study of complex systems is given, suggesting their possible extensions in the field of social sciences. The theory of fuzzy sets is introduced as well-suited for modelling the social group. Fuzzy clustering, fuzzy categories and fuzzy systems are presented as possible models of social phenomena.

Proceedings ArticleDOI
07 Jun 1976
TL;DR: This paper addresses the problem of developing new representational structures for use in problem-solving domains which are imprecise or uncertain in nature, and the use of "procedure demons" to specify global control regimes is examined.
Abstract: This paper addresses the problem of developing new representational structures for use in problem-solving domains which are imprecise or uncertain in nature. The incompatibility of precise representations with complex systems is discussed, and an argument is made that the inability to arrive at symbolic representations, not any inherent "complexity," is what makes natural reasoning difficult to model. The programming language FUZZY, which provides a number of facilities for representing and manipulating fuzzy information, is described briefly, and the use of "procedure demons" to specify global control regimes is examined. The procedural mechanisms available in FUZZY are then used to analyze a simple problem of fuzzy deductive inference.



Book ChapterDOI
01 Jan 1976
TL;DR: Work done over the past few years has fully demonstrated the practicability of using system theory and fuzzy sets theory in real management problems with special emphasis on planning methods.
Abstract: Work done over the past few years has fully demonstrated the practicability of using system theory and fuzzy sets theory in real management problems. Attention has been concentrated in this paper on such problems with special emphasis on planning methods. Fuzzy programming was found to be an useful tool either to endure ambiguity or to use it as a blessing. The fuzzy tolerance concept was introduced in order to represent beliefs, judgement, and experience.