Issue:Solution of intuitionistic fuzzy equation with extended operations - Revision history

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

2024-08-29T09:11:26Z

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

← Older revision		Revision as of 12:11, 29 August 2024
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	{{issue/data		{{issue/data
	\| conference = Seventh [[ICIFS\|International Conference on IFSs]], Sofia, 23-24 August 2003		\| conference = Seventh [[ICIFS\|International Conference on IFSs]], Sofia, 23-24 August 2003
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/09/3\|"Notes on ~~IFS~~", Volume 9 (2003) Number 3]], pages 26-32		\| issue = [[Notes on Intuitionistic Fuzzy Sets/09/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 9 (2003) Number 3]], pages 26-32
	\| file = NIFS-09-3-26-32.pdf		\| file = NIFS-09-3-26-32.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 11:52, 22 November 2009

2009-11-22T11:52:21Z

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	\| keywords =		\| keywords =
	\| references =		\| references =
	# K. Atanassov, [[Intuitionistic ~~fuzzy sets~~: Theory and Applications]], Physica-Verlag, Heidelberg, (1999).		# K. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications]], Physica-Verlag, Heidelberg, (1999).
	# K. Atanassov, [[Issue:Intuitionistic fuzzy sets\|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], 20 (1986) 87-96.		# K. Atanassov, [[Issue:Intuitionistic fuzzy sets\|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], 20 (1986) 87-96.
	# K. Atanassov, [[Issue:More on intuitionistic fuzzy sets\|More on intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 33 (1989) 37-46.		# K. Atanassov, [[Issue:More on intuitionistic fuzzy sets\|More on intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 33 (1989) 37-46.

Vassia Atanassova at 11:52, 22 November 2009

2009-11-22T11:52:06Z

← Older revision		Revision as of 14:52, 22 November 2009
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	\| size = 125		\| size = 125
	\| abstract =		\| abstract =
	Assuming that ~~<big></big>~~ is any operation defined on a product set ''X'' × ''Y'' and taking values on a set ''Z'', it can be extended to intuitionistic fuzzy sets by means of the extended form of the Zadeh's extension principle for the intuitionistic fuzzy sets. Given an IFS ''C'' of ''Z'', it is here shown how to solve the equation ''A'' ~~<big></big>~~ ''B'' = ''C'' (or ''A'' ~~<big>*</big>~~ ''B'' ⊆ ''C'') when an intuitionistic fuzzy subset ''A'' of ''X'' (or an intuitionistic fuzzy subset ''B'' of ''Y'') is given.		Assuming that ∗ is any operation defined on a product set ''X'' × ''Y'' and taking values on a set ''Z'', it can be extended to [[intuitionistic fuzzy sets]] by means of the extended form of the Zadeh's extension principle for the intuitionistic fuzzy sets. Given an IFS ''C'' of ''Z'', it is here shown how to solve the equation ''A'' ∗ ''B'' = ''C'' (or ''A'' ∗ ''B'' ⊆ ''C'') when an intuitionistic fuzzy subset ''A'' of ''X'' (or an intuitionistic fuzzy subset ''B'' of ''Y'') is given.
	\| keywords =		\| keywords =
	\| references =		\| references =

Vassia Atanassova at 11:41, 22 November 2009

2009-11-22T11:41:48Z

← Older revision		Revision as of 14:41, 22 November 2009
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	# K. Atanassov, [[Issue:New operations defined over intuitionistic fuzzy sets\|New operations defined over intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 61 (1994) 137-142.		# K. Atanassov, [[Issue:New operations defined over intuitionistic fuzzy sets\|New operations defined over intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 61 (1994) 137-142.
	# [[Pedro Burillo\|P. Burillo]] and [[Humberto Bustince\|H. Bustence]], Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, 78 (1996) 305-316.		# [[Pedro Burillo\|P. Burillo]] and [[Humberto Bustince\|H. Bustence]], Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, 78 (1996) 305-316.
	# P. Burillo and H. Bustence, Orderings in the referential set induced by an intuitionistic fuzzy relations, ~~Note~~ on NIFS , 1 (1995) 93-103.		# P. Burillo and H. Bustence, [[Issue:Orderings in the referential set induced by an intuitionistic fuzzy relations\|Orderings in the referential set induced by an intuitionistic fuzzy relations]], Notes on NIFS, 1 (1995) 93-103.
	# H. Bustence and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996) 293-303.		# H. Bustence and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996) 293-303.
	# S. Melliani, Semi linear equation with fuzzy parameters, Lecture Notes in Computer Sciences, 1711 (1999) 271{275.		# S. Melliani, Semi linear equation with fuzzy parameters, Lecture Notes in Computer Sciences, 1711 (1999) 271{275.

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} [[Category:Publications in Notes ...

2009-11-22T11:41:18Z

New page: {{PAGENAME}} {{PAGENAME}} [[Category:Publications in Notes ...

New page

[[Category:Publications on intuitionistic fuzzy sets in decision making|{{PAGENAME}}]]
[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2003 year|{{PAGENAME}}]]
[[Category:ICIFS conference publications|{{PAGENAME}}]]
{{issue/title
| title = A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
| shortcut = nifs/9/3/26-32
}}
{{issue/author
| author = Lalla Saadia Chadli
| institution = LMC, Faculty of Sciences and Technology
| address = PO Box 523, 23000 Beni Mellal Morocco
| email-before-at = chadli
| email-after-at = fstbm.ac.ma
}}
{{issue/author
| author = Said Melliani
| institution = LMC, Faculty of Sciences and Technology
| address = PO Box 523, 23000 Beni Mellal Morocco
| email-before-at = melliani
| email-after-at = fstbm.ac.ma
}}
{{issue/data
| conference = Seventh [[ICIFS|International Conference on IFSs]], Sofia, 23-24 August 2003
| issue = [[Notes on Intuitionistic Fuzzy Sets/09/3|"Notes on IFS", Volume 9 (2003) Number 3]], pages 26-32
| file = NIFS-09-3-26-32.pdf
| format = PDF
| size = 125
| abstract =
Assuming that <big>*</big> is any operation defined on a product set ''X'' × ''Y'' and taking values on a set ''Z'', it can be extended to intuitionistic fuzzy sets by means of the extended form of the Zadeh's extension principle for the intuitionistic fuzzy sets. Given an IFS ''C'' of ''Z'', it is here shown how to solve the equation ''A'' <big>*</big> ''B'' = ''C'' (or ''A'' <big>*</big> ''B'' ⊆ ''C'') when an intuitionistic fuzzy subset ''A'' of ''X'' (or an intuitionistic fuzzy subset ''B'' of ''Y'') is given.
| keywords =
| references =
# K. Atanassov, [[Intuitionistic fuzzy sets: Theory and Applications]], Physica-Verlag, Heidelberg, (1999).
# K. Atanassov, [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy Sets and Systems]], 20 (1986) 87-96.
# K. Atanassov, [[Issue:More on intuitionistic fuzzy sets|More on intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 33 (1989) 37-46.
# K. Atanassov, [[Issue:New operations defined over intuitionistic fuzzy sets|New operations defined over intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 61 (1994) 137-142.
# [[Pedro Burillo|P. Burillo]] and [[Humberto Bustince|H. Bustence]], Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, 78 (1996) 305-316.
# P. Burillo and H. Bustence, Orderings in the referential set induced by an intuitionistic fuzzy relations, Note on NIFS , 1 (1995) 93-103.
# H. Bustence and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996) 293-303.
# S. Melliani, Semi linear equation with fuzzy parameters, Lecture Notes in Computer Sciences, 1711 (1999) 271{275.
# S. Nanda, On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33 (1989) 123-126.
# E. Sanchez, Solution of fuzzy equations with extended operations, Fuzzy Sets and Systems, 12 (1984) 237-248.
# E. Sanchez, Resolution of composite fuzzy relation equations, Information and Control, 30 (1976) 38-48.
# W. Xizhao, Z. Zimian and H. Minghu, Iteration algorithms for solving a system of fuzzy linear equations, Fuzzy Sets and Systems , 119 (2001) 121-128.
# L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.

| citations =
| see-also =
}}