CFP last date
20 January 2025
Reseach Article

Many-Valued Logics for Modeling Vagueness

by Supriya Raheja, Reena Dhadich
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 61 - Number 7
Year of Publication: 2013
Authors: Supriya Raheja, Reena Dhadich
10.5120/9942-4579

Supriya Raheja, Reena Dhadich . Many-Valued Logics for Modeling Vagueness. International Journal of Computer Applications. 61, 7 ( January 2013), 35-39. DOI=10.5120/9942-4579

@article{ 10.5120/9942-4579,
author = { Supriya Raheja, Reena Dhadich },
title = { Many-Valued Logics for Modeling Vagueness },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 61 },
number = { 7 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 35-39 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume61/number7/9942-4579/ },
doi = { 10.5120/9942-4579 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:08:29.812891+05:30
%A Supriya Raheja
%A Reena Dhadich
%T Many-Valued Logics for Modeling Vagueness
%J International Journal of Computer Applications
%@ 0975-8887
%V 61
%N 7
%P 35-39
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Many-Valued logics have been developed to represent mathematical model of imprecision, vagueness, uncertainty and ambiguity in the information. In real world each and every species is vague, human knowledge and the natural languages have a bunch of vagueness or imprecise information. This paper attempts to present three main theories of many-valued logics to treat the vagueness: Fuzzy Logic, Vague Logic and Neutrosophic Logic. Author touches the various perspectives logical, algebraic operation, graphical representations and the practical usage. This paper addresses the modeling of vagueness. Author introduces the framework, Vague Inference System (VIS) for modeling the vagueness using vague logic.

References
  1. L. A. Zadeh, "Fuzzy sets", Information and Control, 8:338–356, 1965
  2. K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20:87– 96, 1986.
  3. K. Atanassov, "Intuitionistic Fuzzy Sets: Theory and Applications", Physica-Verlag, New York, 2000.
  4. W. L. Gau and D. J. Buehrer, "Vague sets", IEEE Transaction on systems, Man and Cybernetics, 23:610– 614, 1993.
  5. V. Novak, I. Perfilieva, J. Mochkorg, "Mathematical principles of vague logic", (In Russian) FIZMATLIT, Moskow, (2006) 352 .
  6. Bustince H. and Burillo P. , "Vague sets are intuitionistic fuzzy sets", Fuzzy Sets and Systems 79 (1996) 403-405.
  7. F. Smarandache (2002a), A unifying Field in Logics: Neutrosophic Logic, in Multiple- Valued Logic / An International Journal, Vol. 8, No. 3, 385- 438, 2002.
  8. C. Ashbacher, Introduction to Neutrosophic Logic, Am. Res. Press, Rehoboth, USA, 2002.
  9. Umberto Rivieccio, Neutrosophic logics: Prospects and problems, in Fuzzy Sets and Systems, Vol. 159, Issue 14, pp. 1860 – 1868, 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy Logic (FL) Vague Logic (VL) Neutrosophic Logic (NL) Membership functions Vague Inference System (VIS)