Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Big Data Analytics and Fuzzy Technology: Extracting Information from Social Data Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Game Approach to Fuzzy Measurement

Author : V. L. Stefanuk

Published in: Recent Developments and the New Direction in Soft-Computing Foundations and Applications

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The game approaches are rather popular in many applications, where a collective of automata is used. In the present paper such a collective consists in a group of learning automata characterized with simple number parameters. The fuzzy measuring implemented as a game which is played sequentially with one automaton at a time, the result of the game defines next automaton to be played with. This game provides some measuring system that is very close to the procedure of collecting statistics in Probability Theory. For measuring of an unknown membership function a new concept has been introduced called Cognitive Generator which transforms a fuzzy singleton to ordinary crisp logic value. Considerations on various types of axiomatic approaches shows that the Cognitive Generator, as well as the Evidence Combination Axiomatic, belongs to one class of axiomatic theories, which may be used in application directly. The present paper contains also some programming examples aimed to illustrate our general approach.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Adaptive Neuro-Fuzzy Inference System for Classification of Texts
next chapter Towards Real-Time Łukasiewicz Fuzzy Systems
Footnotes
1
Such Pseudo Random Numbers Generators are used in most of computers to imitate probability.
 
Literature
1.
2.
E.H. Mamdani, Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Trans. Comput. 26(12), 1182–1191 (1977)CrossRef
3.
S. Katke, M. Pawar, T. Kadam, S. Gonge, Combination of neuro fuzzy techniques give better performance. Int. J. Comput. Sci. Inf. Technol. 6(1), 550–553 (2015)
4.
S. Mishra, P.K. Hota, P. Mohanty, A Neuro-fuzzy based Unified Power Flow Controller for Improvement of Transient Stability Performance. CiteSeer
5.
S. Mishra, A.K. Pradhan. P.K. Hota, Development and implementation of a fuzzy logic based constant speed DC drive. J. Inst. Eng. (India) (pt EL) 79, 146 (1998)
6.
M. Senthil Kumar, P. Renuga, K. Saravanan, Adaptive neuro-fuzzy based transient stability improvement using UPFC. Int. J. Recent Trends Eng. 2(7), 127 (2009)
7.
V.L. Stefanuk, Behavior of Tsetlin’s learning automata in a fuzzy environment, in Second World Conference on Soft Computing (WConSC) (Letterpress, Baku, Azerbaijan, 2012), pp. 511–513
8.
V.L. Stefanuk, Interaction using qualitative data, in 4th World Conference on Soft Computing. Program of Conference, Plenary talk (abstracts) (2014), pp. 43–44
9.
V. L. Stefanuk, How to measure qualitative data, in Proceedings of American Fuzzy Information Processing Society NAFIPS’2015 and 5th World Conference on Soft Computing, Redmond, USA (2015), pp. 37–40
10.
M.L. Tsetlin, Some problems of finite automata behaviour. Doklady USSR Acad. Sci. (Moscow) 139(4), (1961)
11.
V.L. Stefanuk, Deterministic Markovian chains. Inf. Process. (Moscow: IITP RAS (in Russian)) 11(4), 702–709 (2011)
12.
T. Munakata, Fundamentals of the New Artificial Intelligence (Springer, New York, 1998), pp. 231
13.
V.L. Stefanuk, M.L. Tzetlin, On power control in the collective of radio stations. Inf. Trans. Prob. 3(4), 59–67 (1967)
14.
V.L. Stefanuk, Should one trust evidences? in Proceedings of the All-country AI Conference, vol. 1. (Moscow, 1988), pp. 406–410
15.
A. Zhozhikashvili, V.L. Stefanuk, Theory of category approach to knowledge based programming, in Knowledge-Based Software Engineering, Communication in Computer and Information Science, vol. 466, Proceedings of the 11th Joint Conference, JCKBSE 2014 (Springer International Publishing, Switzerland, 2014), pp. 735–746
16.
V. Kreinovich, Formalizing the informal, precisiating the imprecise: how fuzzy logic can help mathematicians and physicist by formalizing their intuitive ideas, in NAFIPS 2015, Keynote Speech
17.
V.L. Stefanuk, An example of collective behaviour of two automata. Autom. Remote Control (Moscow (in Russian)) 24(6), 781–784 (1963)
Metadata
Title
Game Approach to Fuzzy Measurement
Author
V. L. Stefanuk
Copyright Year
2018
Book
Recent Developments and the New Direction in Soft-Computing Foundations and Applications

Print ISBN: 978-3-319-75407-9

Electronic ISBN: 978-3-319-75408-6

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-75408-6_7

Premium Partner

    Image Credits