Archimedes T -Soft and the Law of Contradiction

Document Type : Original Article

20.1001.1.27174409.1398.2.2.1.1=DOR

Abstract

In This Paper, We First Introduce The Concept Of T-Softs And Examine The Basic Properties Of T-Softs. Then We Consider The Archimedean T-Softs And Study Them In Detail. Considering Multiplicative And Collective Generators For -T-Archimedean Softs, We Provide Various Examples Of This Category Of -T Softs. In The Following, We Define The Homogeneity Of T-Softs And Show That To The Extent Of Uniformity, We Have Only Two Archimedean T-Softs: Multiplicative T-Soft And Lukasovich T-Soft. Finally, We Describe The True Archimedean T-Norms In The Law Of Contradiction.

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References

[1] Bacczynski, M. Jayaram, B. (2008), Fuzzy Implications, Springer-Verlag Berlin
Heidelberg.
[2] Fodor, J., Roubens, M. (1994), Fuzzy preference modelling and multicriteria decision support, Kluwer, Dordrecht.
[3] Klement, P., Mesiar, R., Pap, E. (2000), Triangular Norms, Kluwer Academic
Publishers, Dordrecht, The Netherlands.[5] Mandelkern, M. (1982), Continuity of monotone functions, Pacific J. Math. 99, 2,
413-418.
[6] Nguyen, H.T., Walker, E.A. (2006), A first course in fuzzy logic, 3nd edn. CRC
Press, Boca Raton.
[7] Schweizer, B. Sklar, A. (1961), Associative functions and statistical triangle inequalities, Publ. Math. Debrecen, 8, 169-186.
[8] Schweizer, B. Sklar, A. (1983), Probabilistic Metric Spaces, NorthHolland, Amsterdam.
[9] Zadeh, L. (1965), Fuzzy Sets, Information and Control, 8, 338-353.[4] Lin, S. Y. T., Lin, Y. F. (1985), Set theory with applications, Mancorp Pub.

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History

  • Receive Date: 09 April 2019
  • Revise Date: 20 October 2019
  • Accept Date: 31 August 2020

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