Modified Generalized Weighted Fuzzy Petri Net in Intuitionistic Fuzzy Environment

详细信息    查看全文

• 关键词：Generalized weighted fuzzy production rule ; Generalized weighted intuitionistic fuzzy petri net ; Knowledge representation ; Approximate reasoning ; Weighted composite average operator ; Inverted fuzzy implication
• 刊名：Lecture Notes in Computer Science
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：9920
• 期：1
• 页码：342-351
• 全文大小：1,110 KB
• 参考文献：1.Suraj, Z., Lasek, A.: Inverted fuzzy implications in backward reasoning. In: Kryszkiewicz, M., Bandyopadhyay, S., Rybinski, H., Pal, S.K. (eds.) PReMI 2015. LNCS, vol. 9124, pp. 354–364. Springer, Heidelberg (2015)CrossRef
  2.Suraj, Z.: A new class of fuzzy Petri nets for knowledge representation and reasoning. Fundam. Inform. 128(1–2), 193–207 (2013)MathSciNet MATH
  3.Scarpelli, H., Gomide, F., Yager, R.R.: A reasoning algorithm for high-level fuzzy Petri net. IEEE Trans. Fuzzy Syst. 4(3), 282–294 (1996)CrossRef
  4.Suraj, Z.: Knowledge representation and reasoning based on generalised fuzzy Petri nets. In: Proceedings of the 12th International Conference on Intelligent Systems Design and Applications (ISDA), Kochi, India, 27–29 November, pp. 101–106, IEEE Press (2012)
  5.Fryc, B., Pancerz, K., Peters, J.F., Suraj, Z.: On fuzzy reasoning using matrix representation of extended fuzzy Petri nets. Fundam. Inform. 60(1–4), 143–157 (2004)MathSciNet MATH
  6.Yuan, J., Shi, H., Liu, C., Shang, W.: Improved basic inference models of fuzzy Petri nets. In: Proceedings of the 7th World Congress on Intelligent Control and Automation, Chongqing, China, 25–27 June (2008)
  7.Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)MathSciNet CrossRef MATH
  8.Liu, H.C., You, J.X., You, X.Y., Su, Q.: Fuzzy Petri nets using intuitionistic fuzzy sets and ordered weighted averaging operators. IEEE Trans. Cybern. 46(8), 1839–1850 (2015)CrossRef
  9.Suraj, Z., Bandyopadhyay, S.: Generalized weighted fuzzy Petri net in intuitionistic fuzzy environment. IEEE World Congress on Computational Intelligence, Vancouver, Canada (2016, to appear)
  10.Suraj, Z.: Modified generalised fuzzy Petri nets for rule-based systems. In: Yao, Y., Hu, Q., Yu, H., Grzymala-Busse, J.W. (eds.) RSFDGrC 2015. LNCS (LNAI), vol. 9437, pp. 196–206. Springer, Heidelberg (2015). doi:10.​1007/​978-3-319-25783-9_​18 CrossRef
  11.Suraj, Z., Lasek, A., Lasek, P.: Inverted fuzzy implications in approximate reasoning. Fundam. Inform. 143, 151–171 (2015)MathSciNet CrossRef
  12.Suraj, Z., Lasek, A.: Toward optimization of approximate reasoning based on rule knowledgde. In: Proceedings of the 2nd International Conference on Systems and Informatics (ICSAI), pp. 281–285 (2014)
  13.Baczyński, M., Jayaram, B.: Fuzzy Implications. Springer, Heidelberg (2008)MATH
  14.Yeung, D.S., Tsang, E.C.C.: Weighted fuzzy production rules. Fuzzy Sets Syst. 88(3), 299–313 (1997)MathSciNet CrossRef
  15.Wang, W., Liu, X.: Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int. J. Intell. Syst. 26(11), 1049–1075 (2011)CrossRef
  16.Fay, A., Schnieder, E.: Fuzzy Petri nets for knowledge modelling in expert systems. In: Cardoso, J., Camargo, H. (eds.) Fuzziness in Petri Nets, pp. 300–318. Physica-Verlag, Berlin (1999)
  17.Petri, C.A.: Kommunikation mit Automaten, Schriften des IIM, Nr. 2, Institut für Instrumentelle Mathematik, Bonn. English translation: Technical report RADC-TR-65-377, vol. 1, suppl. 1, Griffiths Air Force Base, New York 1966 (1962)
  18.Seikh, M.R., Pal, M., Nayak, P.K.: Application of triangular intuitionistic fuzzy numbers in bi-matrix games. Int. J. Pure Appl. Math. 79(2), 235–247 (2012)MATH
  19.Bandyopadhyay, S., Nayak, P.K., Pal, M.: Solution of matrix game with triangular intuitionistic fuzzy pay-off using score function. Open J. Optim. 2, 9–15 (2013)CrossRef
  20.Chen, S.M., Tan, J.M.: Handling multicriteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst. 67(2), 163–172 (1994)MathSciNet CrossRef MATH
  21.Hong, D.H., Choi, C.H.: Multicriteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst. 144(1), 103–113 (2000)CrossRef MATH
  
• 作者单位：Sibasis Bandyopadhyay (23)
  Zbigniew Suraj (24)
  Piotr Grochowalski (24)
  
  23. Department of Mathematics, Visva Bharati, Santiniketan, India
  24. Chair of Computer Science, University of Rzeszów, Rzeszów, Poland
  
• 丛书名：Rough Sets
• ISBN：978-3-319-47160-0
• 刊物类别：Computer Science
• 刊物主题：Artificial Intelligence and Robotics
  Computer Communication Networks
  Software Engineering
  Data Encryption
  Database Management
  Computation by Abstract Devices
  Algorithm Analysis and Problem Complexity
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1611-3349
• 卷排序：9920

文摘

In this paper, a modification for the generalized weighted fuzzy Petri net in intuitionistic fuzzy environment has been proposed with the help of inverted fuzzy implication as an output operator in ope-rator binding function. It provides a way to optimize the truth values at the output places. Approximate reasoning algorithms for such Petri net have been proposed. A numerical example is provided to logically establish the proposed theory.