Showing papers on "Membership function published in 1989"
TL;DR: In this paper, the nonadditivity of Sugeno's fuzzy measures is interpreted in terms of addition and the rationality of the Choquet integral is discussed, and it is pointed out that a fuzzy measure on a set X expresses the interaction between the subsets of X and can be represented by an additive measure.
596 citations
01 Jul 1989
TL;DR: L.A. Zadeh's (1975) possibility theory is used as a general framework for modeling temporal knowledge pervaded with imprecision or uncertainty, and Deductive patterns of reasoning involving fuzzy and/or uncertain temporal knowledge are established.
Abstract: L.A. Zadeh's (1975) possibility theory is used as a general framework for modeling temporal knowledge pervaded with imprecision or uncertainty. Ill-known dates, time intervals with fuzzy boundaries, fuzzy durations, and uncertain precedence relations between events can be dealt with in this approach. An explicit representation (in terms of possibility distributions) of the available information, which may be neither precise nor certain, is maintained. Deductive patterns of reasoning involving fuzzy and/or uncertain temporal knowledge are established, and the combination of fuzzy partial pieces of information is considered. A scheduled example with fuzzy temporal windows is discussed. >
304 citations
TL;DR: These works shed new light on various interpretations of fuzzy sets and clarify their links with probability theory; conversely Zadeh's logical point of view on fuzzy sets suggests a set-theoretic perspective on uncertainty measures, that brings together numerical quantification and logic.
196 citations
TL;DR: In this article, a general approach for queuing systems in a fuzzy environment is proposed based on Zadeh's extension principle, the possibility concept and fuzzy Markov chains, and analytical results for M/F/1 and FM/FM/1 systems are presented.
Abstract: A general approach for queuing systems in a fuzzy environment is proposed based on Zadeh's extension principle, the possibility concept and fuzzy Markov chains. To illustrate the approach, analytical results for M/F/1 and FM/FM/1 systems are presented. Fuzzy queues are much more realistic than the commonly used crisp queues in many practical situations. A simple numerical example is also presented.
138 citations
TL;DR: An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy numbers that can be derived efficiently from among an M-α-Pareto optimal solution set is presented.
116 citations
TL;DR: It is shown that a closed subset is compact if and only if it is uniformly support-bounded and the corresponding set of support functions is equileftcontinuous in the membership grade variable.
104 citations
TL;DR: Any rough set can be expressed by means of a membership function U → {0, 0.5, 1}.
89 citations
TL;DR: A method to study fuzzy measures associating certain sets of probabilities to them based on the consideration of one property of a fuzzy integral, called monotone expectation is developed.
70 citations
TL;DR: It is shown that given a class of membership functions of fuzzy goals assigned to objective functions in the problem, wider than primarily proposed by Zimmermann, the use of classical linear programming methods to solve and analyse the problem is also possible.
67 citations
TL;DR: In cases where the use of the fuzzy expected value as a ‘typical’ grade of membership within a fuzzy set, may occasionally generate improper results, it is replaced by a new quantity — the weighted fuzzyexpected value (WFEV) and its improved performance is demonstrated.
56 citations
TL;DR: MSTR and MSTF contain an exact copy of classical ZFC set theory and both are shown to be relatively consistent and compared to other axiom systems that have been proposed for fuzzy sets.
TL;DR: The Two-Phase Method for fuzzy optimization of structures is presented, in the first phase the fuzzy solution is obtained by using the Level Cuts Method, and in the second phase the crisp solution which maximizes the membership function of fuzzy decision-making is found from the fuzziest solution byUsing the Bound Search Method.
TL;DR: A method based on the concept of fuzzy set for handwritten Chinese character (HCC) recognition is proposed in this paper, and 881 classes of Chinese characters in ETL-8 are used as the test patterns, and the recognition rate is about 96%.
TL;DR: An expert system is proposed which can use complicated experience of an expert for the estimation of special days because the load forecasting is not a problem modeled precisely in mathematics, but a problem requires experience and knowledge of an Expert.
TL;DR: The pattern fuzzy logic described by a fuzzy logic function in disjunctive or conjunctive normal form can be easily realized in a two-stage optica system by programming the lens-arrays and the thresholding devices.
23 May 1989
TL;DR: The authors propose a speaker adaptation algorithm which does not depend on speech recognition algorithms and is applied to hidden Markov models and neural networks and evaluated using a database of 216 phonetically balanced words and 5240 important Japanese words uttered by three speakers.
Abstract: The authors propose a speaker adaptation algorithm which does not depend on speech recognition algorithms. The proposed spectral mapping algorithm is based on three ideas: (1) accurate representation of the input vector by separate vector quantization and fuzzy vector quantization, (2) continuous spectral mapping from one speaker to another by fuzzy mapping, and (3) accurate establishment of spectral correspondence based on the fuzzy relationship of the membership function obtained from supervised training. The spectrum dynamic features are also utilized. The algorithm is applied to hidden Markov models (HMMs) and neural networks and evaluated using a database of 216 phonetically balanced words and 5240 important Japanese words uttered by three speakers. The HMM speaker adapted recognition rate for /b,d,g/ is 79.5%. The average recognition rate for the top-three choices is about 91%. The algorithm was applied to neural networks and resulted in almost the same performance. The algorithm was also applied to voice conversion, and a preference score of 65.6% was obtained. >
Patent•
26 Sep 1989TL;DR: In this paper, a fuzzy inference engine has a plurality of individual inference sections and a concluder section for integrally processing outputs from the inference sections, and non-fuzzy output is obtained through a simple arithmetic operation.
Abstract: A fuzzy inference engine has a plurality of individual inference sections and a concluder section for integrally processing outputs from the inference sections. In order to simplify the fuzzy inference engine, nonfuzzy output is obtained through a simple arithmetic operation. Each fuzzy inference section comprises at least one membership function circuit and a predetermined operation circuit. A setting element sets the center position of a membership function of a consequent of each rule. A multiplier multiplies a value from the predetermined operation circuit by the center position from the setting element. A first adder sums the resulting product for each inference first adder by the values from theb section. A second adder sums the values from the predetermined operation circuit for each inference section. A divider divides the values from the second adder to produce the nonfuzzy output. As an option, and additional multiplier multiplies the output from the predetermined operation circuit by a coefficient.
TL;DR: Fuzzy graph theory is used in an analysis of the compositional dynamics of an oak woods in Wisconsin, U.S.A, demonstrating that the system is not strongly time-varying, and vector field methods of dynamical system analysis are compared.
TL;DR: The aim of this article is to present the hardware implementation of a fuzzy flip-flop based on complementation, Min, and Max operations and its characteristics are graphically shown through computer simulation.
Patent•
12 Jul 1989TL;DR: In this paper, the authors describe a fuzzy control apparatus where characteristic data which identify a controlled system are measured, and substantial adjustment or correction of a membership function, which includes adjustment of tuning parameters, is performed automatically based on the characteristic data.
Abstract: In a fuzzy control apparatus, characteristic data which identify a controlled system are measured, and substantial adjustment or correction of a membership function, which includes adjustment of tuning parameters, is performed automatically based on the characteristic data. As a result, the load upon the operator at the time of adjustment is alleviated and it is possible to readily deal with various controlled systems. The invention therefore excels in universality.
29 May 1989
TL;DR: A method based on the revision principle for approximate reasoning in fuzzy-valued Logic and fuzzy-linguistic-valued logic and two kinds of fuzzy truth as well as the two types of fuzzy linguistic truth are distinguished.
Abstract: A method based on the revision principle for approximate reasoning in fuzzy-valued logic and fuzzy-linguistic-valued logic is introduced. Two kinds of fuzzy truth as well as the two types of fuzzy linguistic truth, which are constructed by the combination of the former, are distinguished. The revision principle for approximate reasoning in fuzzy-valued logic is introduced. The method is extended to approximate reasoning in fuzzy-linguistic-valued logic. With the unification of universe of discourse, the method can be used for fuzzy linguistic concept inference. >
TL;DR: It is shown that three notions of a ring of generalized fuzzy sets GF (X) of X, a complete Heyting algebra (cHa), and an extension lattice B (L) are equivalent.
TL;DR: This paper deals with determining a general framework where both possibility and fuzzy measures are included, and the upper (lower) fuzzy measures, which need not be lower (upper) continuous, are considered.
TL;DR: A new interactive fuzzy decision making method for obtaining the satisficing solution of the decision maker (DM) on the basis of the linear programming method and M-α-Pareto optimal solution set is presented.
Patent•
[...]
13 Dec 1989
TL;DR: A membership function unit includes a membership function setting section for adjusting positions or shapes of membership functions depending on inputs of elements influencing human senses so as to set membership functions and a membership value computing section for computing membership function values associated with input variables in the membership functions attained by the membership function set section as mentioned in this paper.
Abstract: A membership function unit includes a membership function setting section for adjusting positions or shapes of membership functions depending on inputs of elements influencing human senses so as to set the membership functions and a membership value computing section for computing membership function values associated with input variables in the membership functions attained by the membership function setting section.
TL;DR: The sensitivity of several properties of vacancy clusters on the degree of fuzziness is discussed, and fuzzy analysis is suggested as a tool to establish the relation between measures at different scales of the same phenomenon.
Abstract: Representations based on the concepts of the theory of fuzzy sets are suggested to apply to a wide variety of problems in physics. A grade of membership is associated to each element in a set, which is a measure of its distance to a prototype. Fuzzy representations are thus adequate for dealing with situations where the belongingness of an object or a phenomenon to a class is uncertain, or to situations where the classes have no exact definition. An explicit relation is shown between fuzzy representation and dimensionality. Unambiguous definitions of the degree of fuzziness, cluster overlap, and isolated points are given on the basis of an anisotropic grade of membership function. The example is treated of collision cascades generated by xenon atoms incident on a polycrystalline gold surface with energies ranging from 20 keV to 1 MeV. The cascades are simulated in the binary collision approximation with the Marlowe computer code. They are shown to germinate from simultaneously growing collisions clusters. The displacement cascades are found to be only partially space filling. This is emphasized on the basis of their fuzzy geometrical characteristics, without need of any assumption concerning self-similarity. Their possible overlap and lumping are identified on themore » basis of the grade of membership of each vacated lattice site to each cluster. The final cluster pattern of the vacancy distributions is shown to depend on the degree of fuzziness. The sensitivity of several properties of vacancy clusters on the degree of fuzziness is discussed. This sensitivity is suggested to be a consequence of their granular structure. Consequently, their experimental characterization may be influenced by the resolution of the observation method. Fuzzy analysis is suggested as a tool to establish the relation between measures at different scales of the same phenomenon.« less
TL;DR: This paper investigates the reasons for the use of fuzzy sets in the computerized diagnosis of electrocardiograms (ECG) and the principal characteristics of the CARDS system developed in Padova are described.
TL;DR: In this article, an optimization technique known as fuzzy linear programming is utilized in solving a multiple-discharge, two-objective waste load allocation problem, where the two objectives considered are maximization of waste discharge and minimization of the largest difference in equity measure between the various dischargers.
Abstract: Because of its complexity from both a legal and economic standpoint, the problem of optimal waste load allocation is multiobjective by nature and should be treated accordingly. To perform this task, an optimization technique known as fuzzy linear programming is utilized in solving a multiple-discharge, two-objective waste load allocation problem. The two objectives considered are: (1) the maximization of waste discharge and (2) the minimization of the largest difference in equity measure between the various dischargers. Results from this study reveal that fuzzy linear programming is a valuable tool for solving the multiple-objective water quality management problems. Moreover, it is shown that the selection of a linear or logistic membership function in providing preference criteria between the two objects, has no effect on the ‘best compromising solution’.
TL;DR: It is shown that every fuzzy neighborhood structure N is given by some fuzzy quasi-uniformity and also N is induced bySome fuzzy uniformity if it is completely regular.