Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-29T09:13:23Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/17/1\|"Notes on ~~IFS~~", Volume 17 (2010) Number 1]], pages 1—4		\| issue = [[Notes on Intuitionistic Fuzzy Sets/17/1\|"Notes on Intuitionistic Fuzzy Sets", Volume 17 (2010) Number 1]], pages 1—4
	\| file = NIFS-17-1-01-04.pdf		\| file = NIFS-17-1-01-04.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title...

2011-05-01T07:29:13Z

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2011 year|{{PAGENAME}}]]
{{issue/title
| title = On Zadeh's intuitionistic fuzzy disjunction and conjunction
| shortcut = nifs/17/1/1-4
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/17/1|"Notes on IFS", Volume 17 (2010) Number 1]], pages 1—4
| file = NIFS-17-1-01-04.pdf
| format = PDF
| size = 96
| abstract =

During the last ten years a lot of [[operations over intuitionistic fuzzy sets|operations]] were defined over [[intuitionistic fuzzy sets]] (IFSs; see [3]). Here, we will discuss three operations, generated by Zadeh's implication, introduced in [[fuzzy set]] theory (see, e.g., [8]). Its IFS-analogues was introduced in [5, 6] and here, on its basis, we will construct Zadeh's conjunction and disjunction.

In [8] 10 different fuzzy implications are discussed. Having in mind that in the classical logic the equality
<center>''x'' V ''y'' = ¬''x'' → ''y'', </center>
where ''x'' and ''y'' are logical variables, V - disjunction, → - implication and ¬ - negation, we see that for any implication we can construct a disjunction and after this, using De Morgan's laws - a conjunction (or opposite).

| keywords =
| references =
# Atanassov, K. [[Issue:Two variants of intuitionistic fuzzy propositional calculus|Two variants of intuitionistic fuzzy propositional calculus]]. Preprint IM-MFAIS-5-88, Sofia, 1988.
# Atanassov K., [[Issue:Two variants of intuitionistic fuzzy modal logic|Two variants of intuitionistic fuzzy modal logic]]. Preprint IM-MFAIS-3-89, Sofia, 1989.
# Atanassov, K. [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]], Springer Physica-Verlag, Heidelberg, 1999.
# Atanassov, K. Remarks on the conjunctions, disjunctions and implications of the intuitionistic fuzzy logic Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 9, 2001, No. 1, 55-65.
# Atanassov, K. [[Issue:Intuitionistic fuzzy implications and Modus Ponens|Intuitionistic fuzzy implications and Modus Ponens]], Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 1, 1-5.
# Atanassov, K., [[Issue:On some intuitionistic fuzzy implications|On some intuitionistic fuzzy implications]]. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006, No. 1, 19-24.
# Feys, R., Modal logics, Gauthier, Paris, 1965.
# Klir, G., B. Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.

| citations =
| see-also =
}}

Issue:On Zadeh's intuitionistic fuzzy disjunction and conjunction - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title...