Skip to main content
SpringerLink
Log in

Paraconsistent Logic in Decision Making: Paraconsistent Decision Method (PDM)

  • Chapter
  • First Online:
Paraconsistent Intelligent-Based Systems

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 94))

Abstract

This chapter introduces the Paraconsistent Decision-Making Method (PDM) based on Paraconsistent Annotated Evidential Logic Eτ, an alternative to classical logic and detracting from the principle of non-contradiction, that is, accept this principle without becoming trivial. In addition, an application example is presented in viability analysis, along with a comparative study of this method with the Statistical Method of Decision-Making and the referenced bibliography. In the application example, it analyzes the viability of launching a new product, examining carefully the situation of influencing factors with actual conditions of the consumer market. Comparing the PDM with the Statistical Method of Decision-Making (SMD) shows the compatibility of the two methods and consistency of the results obtained by both. Lastly, the bibliography used as reference as well as supplementary resources for consulting and research are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Abe, J.M.: Fundamentos da Lógica Anotada. Doctor Thesis. In Portuguese. Tese apresentada para a obtenção do título de Doutor em Filosofia na Faculdade de Filosofia, Letras e Ciências Humanas (FFLCH) da Universidade de São Paulo (USP), 98pp. São Paulo (1992)

    Google Scholar 

  2. Abe, J.M.: Some Aspects of paraconsistent systems and applications. Logique et Anal. 157, 83–96 (1997)

    Google Scholar 

  3. Abe, J.M., Da Silva Filho, J.I., Scalzitti A.: Introdução à Lógica para Ciência da Computação, 247pp. In Portuguese. Editora Arte e Ciência, São Paulo (2001)

    Google Scholar 

  4. Ávila, B.C.: Uma Abordagem Paraconsistente Baseada em Lógica Evidencial para Tratar Exceções em Sistemas de Frames com Múltipla Herança. Doctor Thesis. In Portuguese. Tese apresentada para a obtenção do título de Doutor em Engenharia, no Departamento de Engenharia de Computação e Sistemas Digitais da Escola Politécnica da Universidade de São Paulo (EPUSP), 120pp. São Paulo, Brasil, (1996)

    Google Scholar 

  5. Berger, J.O.: Statistical Decision Theory and Bayesian Analysis. In: Springer Series in Statistics, 2nd edn, 617pp. Springer, New York (1983)

    Google Scholar 

  6. Chalos, P.: Managing Cost in Today’s Manufacturing Environment, 283pp. Prentice Hall Inc., Englewood Cliffs (1992)

    Google Scholar 

  7. Costa Neto, P.L.O.: Estatística. 2ª Edição, 266pp. In Portuguese. Editora Edgard Blücher Ltda, São Paulo (2002)

    Google Scholar 

  8. Costa Neto, P.L.O., Bekman, O.R.: Análise Estatística da Decisão. 2ª. Ed, 148pp. In Portuguese. Editora Blucher, São Paulo (2009)

    Google Scholar 

  9. Da Costa, N.C.A., Vago, C., Subrahmanian, V.S.: The paraconsistent Logics Pτ, in Zeitschr. f. math. Logik und Grundlagen d. Math, Bd. 37, 139–148 (1991)

    Google Scholar 

  10. Da Costa, N.C.A., Abe, J.M., Subrahmanian, V.S.: Remarks on annotated logic, Zeitschrift f. math. Logik und Grundlagen d. Math. 37, 561–570 (1991)

    Google Scholar 

  11. Da Costa, N.C.A.: Ensaio Sobre os Fundamentos da Lógica. In Portuguese. Hucitec-Edusp, São Paulo (1980)

    Google Scholar 

  12. Da Costa, N.C.A.: Sistemas Formais inconsistentes, 66pp. In Portuguese. Editora da Universidade Federal do Paraná (UFPR), Curitiba (1993)

    Google Scholar 

  13. Da Costa, N.C.A., Marconi, D.: An overview of paraconsistent logic in the 80’s. J. Non-Class. Log. 6(1), 5–32 (1989)

    Google Scholar 

  14. Da Costa, N.C.A., Abe, J.M., Murolo, A.C., Da Silva Filho, J.I., Leite, C.F.S.: Lógica Paraconsistente Aplicada, 214pp. In Portuguese. Editora Atlas S.A., São Paulo (1999)

    Google Scholar 

  15. Da Silva Filho, J.I.:: Métodos de Aplicações da Lógica Paraconsistente Anotada de Anotação com dois Valores—LPA2v com Construção de Algoritmo e Implementação de Circuitos Eletrônicos. In Portuguese. Tese apresentada para a obtenção do título de Doutor em Engenharia, no Departamento de Engenharia de Computação e Sistemas Digitais da Escola Politécnica da Universidade de São Paulo (EPUSP), 185pp. São Paulo, Brasil (1998)

    Google Scholar 

  16. Da Silva Filho, J.I., Abe, J.M.: Paraconsistent analyzer module. Int. J. Comput. Anticip. Syst. 9, 346–352. ISSN 1373–5411, ISBN 2-9600262-1-7 (2011)

    Google Scholar 

  17. De Carvalho, F.R.: Lógica Paraconsistente Aplicada em Tomadas de Decisão: uma abordagem para a administração de universidades (Paraconsistent Logic Applied in Decision Making: an approach to Universities management), 120p. In Portuguese. Editora Aleph, São Paulo, Brasil (2002)

    Google Scholar 

  18. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Tomadas de Decisão com Ferramentas da Lógica Paraconsistente Anotada. In Portuguese. In: José Luís D.R., Nivalda, L.C., de Souza, L.G.M., Silva, G.P. (eds.) Encontro Nacional de Engenharia de Produção, 23º, Proceedings, pp. 1–8. Ouro Preto, MG, Brasil, 21 a 24 de outubro de 2003

    Google Scholar 

  19. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Um Estudo de Tomada de Decisão Baseado em Lógica Paraconsistente Anotada: Avaliação do Projeto de uma Fábrica. In Portuguese. In: Revista Pesquisa & Desenvolvimento Engenharia de Produção, da Universidade Federal de Itajubá, Edição nº 1, dez, pp. 47–62 (2003)

    Google Scholar 

  20. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Paraconsistent annotated logic in analysis of viability: an approach to product launching. In: Daniel, M.D. (ed.) Sixth International Conference on Computing Anticipatory Systems (CASYS-2003). Published by American Institute of Physics, AIP Conference Proceedings, vol. 718, pp. 282–291. ISBN 0-7354-0198-5, ISSN 0094-243X

    Google Scholar 

  21. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Decision making based on paraconsistent annotated logic. In: Nakamatsu, K., Abe, J.M. (eds.) Congress of Logic Applied to Technology (LAPTEC 2005), 5th. Himeji, Japan. Advances in Logic Based Intelligent Systems: Frontiers in Artificial Intelligence and Applications (Selected papers), pp. 55–62. IOS Press, Amsterdam, ISBN 1-58603-568-1, ISSN 0922-6389, 2–4 April 2005

    Google Scholar 

  22. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Prevision of medical diagnosis based on paraconsistent annotated logic. In: Daniel, M.D. (ed.) Seventh International Conference on Computing Anticipatory Systems (CASYS-2005). International Journal of Computing Anticipatory Systems, vol .18, pp. 288–297. ISBN 2-930396-04-0, ISSN: 1373-5411. Liège, Belgium, 8–13 Aug 2005

    Google Scholar 

  23. De Carvalho, F.R.: Aplicação de Lógica Paraconsistente Anotada em Tomadas de Decisão na Engenharia de Produção. (Annotated Paraconsistent Logic Applied in Decision Making in Production Engineering). Doctor Thesis. In Portuguese. Thesis submitted to Escola Politécnica da Universidade de São Paulo, for PhD in Engineering, São Paulo, Brasil, 349pp (2006)

    Google Scholar 

  24. De Carvalho, F.R., Brunstein, I.: Aplicação de Lógica Paraconsistente Anotada em Tomadas de Decisão na Engenharia de Produção. In Portuguese. Boletim Técnico da Escola Politécnica da USP—Departamento de Engenharia de Produção, BT/PRO/0704, ISSN 1413-2168, 19pp. São Paulo (2007)

    Google Scholar 

  25. De Carvalho, F.R., Brunstein, I., Abe, J.M.: Decision making based on paraconsistent annotated logic and statistical method: a comparison. In: Daniel M.D. (ed.) Eighth International Conference on Computing Anticipatory Systems (CASYS-2007). Published by American Institute of Physics, AIP Conference Proceedings, vol. 1.051, pp. 195–208. ISBN 978-0-7354-0579-0, ISSN: 0094-243X (2008)

    Google Scholar 

  26. De Carvalho, F.R., Abe, J.M.: A simplified version of the fuzzy decision method and its comparison with the paraconsistent decision method. In: Daniel M.D. (ed.) Ninth International Conference on Computing Anticipatory Systems (CASYS-2009), Published by American Institute of Physics, AIP Conference Proceedings, vol. 1.303, pp. 216–235. ISBN 978-0-7354-0858-6, ISSN: 0094-243X (2010)

    Google Scholar 

  27. De Carvalho, F.R., Abe, J.M.: Tomadas de Decisão com Ferramentas da Lógica Paraconsistente Anotada: Método Paraconsistente de Decisão (MPD), 213pp. In Portuguese. Editora Blucher, São Paulo (2011)

    Google Scholar 

  28. Gaither, N., Frazier, G.: Administração da Produção e Operações (Production and Operations Management), 8a. ed, 598pp. In Portuguese. Editora Pioneira Thomson Learning Ltda, São Paulo (2001)

    Google Scholar 

  29. Gurgel, F.A.: Administração do Produto. 2ª. Ed, 537pp. In Portuguese. Editora Atlas S.A, São Paulo (2001)

    Google Scholar 

  30. Hilbert, D., Ackermann, W.: Principles of Mathematical Logic, 2nd edn, 172pp. Chelsea Publishing Co. New York (1950)

    Google Scholar 

  31. Hoffmann, R.: Estatística para Economistas, 4ª. Ed, 432pp. In Portuguese. Editora Thomson, São Paulo (2006)

    Google Scholar 

  32. Kleene, S.C.: Introduction to Meta-mathematics, 550pp. North-Holland Publishing Co, Amsterdam, Netherlands (1952)

    Google Scholar 

  33. Lapponi, J.C.: Estatística usando Excel, 4ª. Ed, 476pp. In Portuguese. Editora Elsevier-Campos, Rio de Janeiro (2005)

    Google Scholar 

  34. Megginson, L.C., Mosley, D.C., Pietri, P.H. Jr.: Administração: Conceitos e Aplicações (Management: Concepts and Applications). In Portuguese. Translation of Maria Isabel Hopp, 4th edn, 614pp. Editora Harbra Ltda., São Paulo (1998)

    Google Scholar 

  35. Mendelson, E.: Introduction to Mathematical Logic, 4th edn, 440pp. Chapman & Hall, New York (1997)

    Google Scholar 

  36. Mortari, C.A.: Introdução à Lógica, 393pp. In Portuguese. Editora UNESP: Imprensa Oficial do Estado, São Paulo (2001)

    Google Scholar 

  37. Nakamatsu, K., Abe, J.M.: Railway signal and para-consistency, advances in logic based intelligent systems. In: Nakamatsu, K., Abe, J.M. (eds.) Congress of Logic Applied TO Technology (LAPTEC 2005), 5th. Himeji, Japan. Advances in Logic Based Intelligent Systems: Frontiers in Artificial Intelligence and Applications (Selected papers), pp. 220–224. IOS Press, Amsterdam, Netherlands, April 2–4 2005

    Google Scholar 

  38. Negoita, C.V., Ralescu, D.A.: Applications of Fuzzy Sets to Systems Analysis, 186pp. Wiley, New York (1975)

    Google Scholar 

  39. Porter, M.: Vantagem competitiva: Criando e sustentando um desempenho superior (Translated by Elizabeth Maria de Pinho Braga; technical review of Jorge A. Garcia Gomez), 512pp. In Portuguese. Editora Campus, Rio de Janeiro (1989)

    Google Scholar 

  40. Shimizu, T.: Decisões nas Organizações, 2ª Ed, 419pp. In Portuguese. Editora Atlas, São Paulo (2006)

    Google Scholar 

  41. Simon, H.A.: The New Science of Management Decision, 175pp. Englewood Cliffs, Prentice-Hall (1977)

    Google Scholar 

  42. Spiegel, M.R.: Estatística. 3ª Ed. Tradução: Pedro Consentino, 643pp. In Portuguese. Makron Books Editora Ltda, São Paulo (1993)

    Google Scholar 

  43. Witold, P (with foreword by Lotfi A. Zadeh).: Fuzzy Sets Engineering, 332pp. CRC Press Inc., Florida, ISBN 0-8493-9402-3 (1995)

    Google Scholar 

  44. Witold, P., Gomide, F.: An Introduction to Fuzzy Sets, 465pp. MIT Press, Massachusetts, ISBN 0-262-16171-0 (1998)

    Google Scholar 

  45. Woiler, S., Mathias, W.F.: Projetos: Planejamento, Elaboração e Análise (Projects: Planning, Ellaboration and Analysis), 294pp. Editora Atlas, São Paulo (1996)

    Google Scholar 

  46. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Mam Cybern. SMC-3(1), 28–44 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universidade Paulista, UNIP, Rua Dr. Bacelar, nº 1.212, São Paulo, CEP 04026-002, Brazil

    Fábio Romeu de Carvalho

Authors
  1. Fábio Romeu de Carvalho
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fábio Romeu de Carvalho .

Editor information

Editors and Affiliations

  1. São Paulo, Brazil

    Jair Minoro Abe

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

de Carvalho, F.R. (2015). Paraconsistent Logic in Decision Making: Paraconsistent Decision Method (PDM). In: Abe, J. (eds) Paraconsistent Intelligent-Based Systems. Intelligent Systems Reference Library, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-19722-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-19722-7_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19721-0

  • Online ISBN: 978-3-319-19722-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation