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Some Results and Applications Using Fuzzy Logic in Artificial Intelligence

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The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

Abstract

In this chapter, several results and applications in Artificial Intelligence based on Fuzzy Logic are presented. We aim to highlight some recent works that are connected with the topic of this book, both in the theoretical and in the applied fields.

Algunas veces encuentras en la vida una amistad especial: ese alguien que al entrar en tu vida la cambia por completo.

Mario Benedetti,“Algunas amistades”

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Notes

  1. 1.

    From “Llanto por Ignacio Sánchez-Mejías”, Federico García Lorca, 1935.

References

  1. Aptoula E, Lefevre S (2008) On lexicographical ordering in multivariate mathematical morphology. Pattern Recognit Lett 29(2):109–118

    Article  Google Scholar 

  2. Beliakov G, Pradera A, Calvo T (2007) Aggregation functions: a guide for practitioners. Springer, Heidelberg

    MATH  Google Scholar 

  3. Blanco-Fernández A, Díaz-Díaz P, García-Honrado I, Ramos-Guajardo AB, Rodríguez-Muñiz LJ (2016) A proposal for assessing imprecise concepts in spanish primary and secondary schools. Int J Uncertain Fuzziness Knowl-Based Syst 24(Suppl. 2):71–91

    Article  Google Scholar 

  4. Blanco-Fernández A, García-Honrado I, Ramos-Guajardo AB, Rodríguez-Muñiz LJ (2014) Reflexiones sobre el tratamiento de lo incierto en Educación Primaria en España. In: Bobillo F, Bustince H, Fernández FJ, Herrera-Viedma E (eds) Actas del XVII congreso español sobre tecnologías y Lógica fuzzy. Universidad de Zaragoza

    Google Scholar 

  5. Bloch I, Maitre H (1993) Fuzzy mathematical morphology. Ann Math Artif Intell 10(1–2):55–84

    MathSciNet  Google Scholar 

  6. Bloch I, Ralescu AL (2003) Directional relative position between objects in image processing: a comparison between fuzzy approaches. Pattern Recognit 36(7):1563–1582

    Article  MATH  Google Scholar 

  7. Bouchet A, Quirós P, Alonso P, Ballarin V, Díaz I, Montes S (2015) Gray scale edge detection using interval-valued fuzzy relations. Int J Comput Intell Syst 8(2):16–27

    Article  Google Scholar 

  8. Bouchet A, Alonso P, Pastore JI, Díaz I, Montes S (2016) Fuzzy mathematical morphology for color images defined by fuzzy preference relations. Pattern Recognit 60:720–733

    Article  Google Scholar 

  9. Bouchet A, Alonso P, Díaz I, Montes S (2017) On the performance of some edge detectors for gray scale images. Submitted

    Google Scholar 

  10. Díaz I, Ralescu AL (2012) Privacy issues in social networks a brief survey. Commun Comput Inf Sci 300:509–518

    Google Scholar 

  11. Díaz I, Rodríguez-Muñiz LJ, Troiano L (2012) Fuzzy sets in data protection: strategies and cardinalities. Logic J IGPL 20:657–666

    Article  MathSciNet  Google Scholar 

  12. Fernández MJ, Suárez F, Gil P (1993) T-eigen fuzzy sets. Inf Sci 75(1–2):63–80

    Article  MathSciNet  MATH  Google Scholar 

  13. Gil P (1981) Teoría matemática de la información. ICE, Madrid

    Google Scholar 

  14. Matheron G (1975) Random sets and integral geometry. Wiley, New York

    MATH  Google Scholar 

  15. Miranda P, Grabisch M, Gil P (2000) Divergence measures and aggregation operators. Int J Uncertain Fuzziness Knowl-Based Syst 8(6):677–690

    Article  MATH  Google Scholar 

  16. Miyajima K, Ralescu AL (1994) Spatial organization in 2D segmented images: representation and recognition of primitive spatial relations. Fuzzy Sets Syst 65(2–3):225–236

    Article  Google Scholar 

  17. Montes S, Couso I, Gil P, Bertoluzza C (2002) Divergence measure between fuzzy sets. Int J Approx Reason 30(2):91–105

    Article  MathSciNet  MATH  Google Scholar 

  18. Pérez-Fernández R, Alonso P, Bustince H, Díaz I, Jurío A, Montes S (2015) Ordering finitely generated sets and finite interval-valued hesitant fuzzy sets. Inf Sci 325:375–392

    Article  MathSciNet  Google Scholar 

  19. Pérez-Fernández R, Alonso P, Díaz I, Montes S (2015) Multi-factorial risk assessment: an approach based on fuzzy preference relations. Fuzzy Sets Syst 278:67–80

    Article  MathSciNet  MATH  Google Scholar 

  20. Pérez-Fernández R, Rademaker M, Alonso P, Díaz I, Montes S, De Baets B (2016) Representations of votes facilitating monotonicity-based ranking rules: from votrix to votex. Int J Approx Reason 73:87–107

    Article  MathSciNet  MATH  Google Scholar 

  21. Pérez-Fernández R, Rademaker M, Alonso P, Díaz I, Montes S, De Baets B (2017) Monotonicity as a tool for differentiating between truth and optimality in the aggregation of rankings. J Math Psychol 77:1–9

    Article  MathSciNet  MATH  Google Scholar 

  22. Pérez-Fernández R, Rademaker M, Alonso P, Díaz I, Montes S, De Baets B (2017) Monotonicity-based ranking on the basis of multiple partially specified reciprocal relations. Fuzzy Sets Syst 325:69–96

    Article  MathSciNet  MATH  Google Scholar 

  23. Quirós P, Alonso P, Díaz I, Montes S (2014) On the use of fuzzy partitions to protect data. Integr Comput-Aided Eng 21:355–366

    Google Scholar 

  24. Quirós P, Alonso P, Díaz I, Montes S (2015) Protecting data: a fuzzy approach. Int J Comput Math 92(9):1989–2000

    Article  MathSciNet  MATH  Google Scholar 

  25. Quirós P, Alonso P, Bustince H, Díaz I, Montes S (2015) An entropy measure definition for finite interval-valued hesitant fuzzy sets. Knowl-Based Syst 84:121–133

    Article  Google Scholar 

  26. Quirós P, Alonso P, Díaz I, Montes S (2016) On delta-epsilon partitions for finite interval-valued hesitant fuzzy sets. Int J Uncertain Fuzziness Knowl-Based Syst 24(2):145–163

    Article  MATH  Google Scholar 

  27. Ralescu AL (1986) A note on rule representation in expert systems. Inf Sci 38(2):193–203

    Article  MathSciNet  MATH  Google Scholar 

  28. Ralescu DA (1995) Cardinality, quantifiers, and the aggregation of fuzzy criteria. Fuzzy Sets Syst 69:355–365

    Article  MathSciNet  MATH  Google Scholar 

  29. Ralescu AL, Ralescu DA (1997) Extensions of fuzzy aggregations. Fuzzy Sets Syst 86(3):321–330

    Article  MathSciNet  MATH  Google Scholar 

  30. Ralescu DA, Ralescu AL (2015) Optimization in a fuzzy environment. Libertas Math (new series) 35(2):51–59

    MathSciNet  MATH  Google Scholar 

  31. Ralescu AL, Ralescu DA, Yamakata Y (2007) Inference by aggregation of evidence with applications to fuzzy probabilities. Inf Sci 177(2):378–387

    Article  MathSciNet  MATH  Google Scholar 

  32. Ralescu AL, Díaz I, Rodríguez-Muñiz LJ (2015) A classification algorithm based on geometric and statistical information. J Comput Appl Math 275:335–344

    Article  MathSciNet  MATH  Google Scholar 

  33. Ranilla J, Rodríguez-Muñiz LJ (2007) A heuristic approach to learning rules from fuzzy databases. IEEE Intell Syst 22(2):62–68

    Article  Google Scholar 

  34. Rawashdeh A, Rawashdeh M, Díaz I, Ralescu AL (2012) Semantic similarity between nodes in a social network. Commun Comput Inf Sci 443:76–85

    Google Scholar 

  35. Rodríguez-Muñiz LJ, Bernardo A, Esteban M, Díaz I (2017) University dropout: Discovering rules with machine learning methods. Submitted

    Google Scholar 

  36. Rodríguez-Muñiz LJ, Díaz-Díaz P (2013) Imprecision, uncertainty and probability in spanish secondary school: a working proposal. In: De Baets B, Fodor J, Montes S (eds) Proceedings EUROFUSE 2013 Works. Universidad de Oviedo

    Google Scholar 

  37. Serra J (1982) Image analysis and mathematical morphology, vol I. Academic Press, London

    MATH  Google Scholar 

  38. Suárez F, Gil P (1986) Fuzzy expected value with semiconormed integrals. Trab Estadíst 1(1):127–139

    Article  MATH  Google Scholar 

  39. Troiano L, Díaz I (2016) An analytical solution to Dujmovic’s Iterative OWA. Int J Uncertain Fuzziness Knowl-Based Syst 24(2):165–179

    Article  MathSciNet  MATH  Google Scholar 

  40. Troiano L, Rodríguez-Muñiz LJ (2011) A statistical study of differences and similarities among aggregation functions. Logic J IGPL 19(2):415–424

    Article  MathSciNet  Google Scholar 

  41. Troiano L, Rodríguez-Muñiz LJ, Ranilla J, Díaz I (2012) Interpretability of fuzzy association rules as means of discovering threats to privacy. Int J Comput Math 89(3):325–333

    Article  Google Scholar 

  42. Troiano L, Rodríguez-Muñiz LJ, Marinaro P, Díaz I (2014) Statistical analysis of parametric t-norms. Inf Sci 257:138–162

    Article  MathSciNet  MATH  Google Scholar 

  43. Troiano L, Rodríguez-Muñiz LJ, Díaz I (2015) Discovering user preferences using Dempster-Shafer theory. Fuzzy Sets Syst 278:98–117

    Article  MathSciNet  MATH  Google Scholar 

  44. Vanegas MC, Bloch I, Inglada J (2016) Fuzzy constraint satisfaction problem for model-based image interpretation. Fuzzy Sets Syst 286:1–29

    Article  MathSciNet  MATH  Google Scholar 

  45. Wang K, Zhou J, Ralescu DA (2017) Arithmetic operations for LR mixed fuzzy random variables via mean chance measure with applications. J Intell Fuzzy Syst 32(1):451–466

    Article  MATH  Google Scholar 

  46. Yang L, Liu P, Li S, Gao Y, Ralescu DA (2015) Reduction methods of type-2 uncertain variables and their applications to solid transportation problem. Inf Sci 291:204–237

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Dpto. Informática, Universidad de Oviedo, Oviedo, Spain

    Irene Díaz

  2. School of Computing Sciences & Infomatics, University of Cincinnati, Ohio, USA

    Anca L. Ralescu

  3. Dept Mathematical Sciences, University of Cincinnati, Ohio, USA

    Dan A. Ralescu

  4. Dpto. Estadística e I.O. y Didáctica de la Matemática, Universidad de Oviedo, Oviedo, Spain

    Luis J. Rodríguez-Muñiz

Authors
  1. Irene Díaz
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  2. Anca L. Ralescu
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  3. Dan A. Ralescu
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  4. Luis J. Rodríguez-Muñiz
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Corresponding author

Correspondence to Luis J. Rodríguez-Muñiz .

Editor information

Editors and Affiliations

  1. Liberbank, Oviedo, Spain

    Eduardo Gil

  2. Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  3. Funl Media, Oxford, United Kingdom

    Juan Gil

  4. Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

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Díaz, I., Ralescu, A.L., Ralescu, D.A., Rodríguez-Muñiz, L.J. (2018). Some Results and Applications Using Fuzzy Logic in Artificial Intelligence. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_53

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_53

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  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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