Fundamentals of the fuzzy logicbased generalized theory of decisions studies in fuzziness and soft computing
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The results of our experiments support the hypothesis that people often use compensatory procedures. The main contribution of the paper is to investigate the analogy between the binomial welfare functions and the S-Gini and Lorenzen parametric families of generalized Gini welfare functions, particularly in the context of the binomial decomposition. When applying an information fusion method, usually the output results are required to be a scalar value. We illustrate graphically the optimal coefficients in two parts, first for low orness values and then for high orness values. Moreover we examine the family of Gini Bonferroni welfare functions with respect to the transfer sensitivity and positional transfer sensitivity principles. Some properties of functions of Z-numbers are considered.

In the simplest case, respective categories classes on the given domain of discourse, e. A special attention is paid to the class of iterative compensatory operators containing also the classical arithmetic, geometric and harmonic means. Denote its length by l. As in the previous examples, the network architecture and list of parameter values do not provide any explanation of its functioning. It has been widely used in various fields ranging. We perfonn routine tasks on a daily basis, as for example: recognition of faces of persons also faces not seen for many years , identification of dangerous situations during car driving, deciding to buy or sell stock, reading hand-written symbols, discriminating between vines made from Sauvignon Blanc, Syrah or Merlot grapes, and others. The fuzzy block diagrams and the stability analysis are applied to the design problems of a model-based fuzzy controller.

The 2-additive case depends on one coefficient whose feasible region does not depend on the dimension n. Commuting is an important property in any two-step information aggregation process where the results should not depend on the order in which the single steps are carried out. Usually, A is a string of symbols, but more generally it may be a graph, network, a geometrical form or other entity. One class is linearly separable from the other two, which are not linearly separable from each other. These theories are the predominant economic theories for decision making under uncertainty.

This provides the decision-maker with ample information on which he or she can rely in order to make the final decision, in the form of segments instead of numbers. The aim of this book is to provide a rigorous background for uncertainty calculi, with an emphasis on fuzziness. A spectrum of examples is provided to illustrate the proposed approach. The purpose of reasoning is to produce the vector of aggregated assessments1 2, ,. An example is the rule: If speed error is positive big and change in speed error is not negative big or negative medium Then change in the throttle opening must be negative big. Project is focused on uncertainty modeling by means of copulas, monotone measures, integrals and on detailed study of aggregation on lattices. The theories of interval-valued functions, functions of random variables, and fuzzy functions are well-developed.

Finally, an application of the obtained result is presented by the given algorithm. The L4 Language Recognition Problem 51 Example 5. An example is given to show the method available. The regulated outputs were the steam pressure and the engine speed. We illustrate this usage by adapting in this way a well-known algorithm for fuzzy community detection problems, extending it to also deal with overlapping community detection problems and produce a ranking of the overlapping nodes. Printed in acid-free paper 987654321 springer.

If there are no suchrules repeat the process starting from step 1. Lastly, we show that a slightly modified Shapley value and the weighted average are still applicable if the evaluation profiles are incomplete. A need to describe and represent categories arises in many practical situations that require collaboration between experts that express different views. In this paper, we present a study of the shift invariance property of aggregation operators. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer.

All that I am, I owe to you — E. The new algorithmic definition of aggregation we propose provides an operational approach to aggregation, one that is based upon lists of variable length and that produces a solution even when portions of data are inserted or deleted. Unlike methods based on a common Lyapunov function, our stability results apply for systems with unstable consequents, and our controllers can be designed for systems with unstabilizable consequents. Points, lines and areas share a common name 'marks', and their possible transformations with respect to changes in size, colour and position determine objects called visual variables. Most of the traditional distance measurement using electromagnetic waves or electromagnetic pulse time of flight to obtain distance information. Most of expressive forms provide not only a convenient tool for easy and confident personal perception, a medium of sharing available qualitative and quantitative data that is imprecise fuzzy by nature, but also a means of presenting clear knowledge frames, individual assumptions and facts which may not be converted straight away to some formal language constructs. In situations, when source information is very unreliable to benefitfrom application of computationally-intensive mathematical computations oftraditional fuzzy logic, some new method is needed.

Fuzzy phenomena existinnature and are encountered quite vividly within human society. More details about weighted aggregation based on some penalty function is given. The aggregation of subjective categories in the framework of human decisions or evaluations almost always shows some degree of compensation. The techniques have been successfully applied to the modeling and control of a neutralization process. Finally, we examine the orness of the parametric S-Gini and Lorenzen families of generalized Gini welfare functions. Finally, calculations of the satisfiability degree for the circuit logic diagram and Bayesian attack graphs are given.