Subtractions over intuitionistic fuzzy sets - Revision history

Vassia Atanassova: ; "What Links Here" References {{Special:WhatLinksHere/{{PAGENAME}}|namespace=102|hidetrans=1|hideredirs=1}}

2022-04-29T07:41:53Z

; "What Links Here" References {{Special:WhatLinksHere/{{PAGENAME}}|namespace=102|hidetrans=1|hideredirs=1}}

← Older revision		Revision as of 10:41, 29 April 2022
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	* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction\|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011		* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction\|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011
	* [[Issue:On Zadeh's intuitionistic fuzzy subtraction\|On Zadeh's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011		* [[Issue:On Zadeh's intuitionistic fuzzy subtraction\|On Zadeh's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011

			; "What Links Here" References

			{{Special:WhatLinksHere/{{PAGENAME}}\|namespace=102\|hidetrans=1\|hideredirs=1}}

	== See also ==		== See also ==

2013-11-05T11:42:30Z

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	\|}		\|}


			== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub>′′ type ==

			=== Alternative separated view ===

	== Approaches to defining intuitionistic fuzzy subtractions ==		== Approaches to defining intuitionistic fuzzy subtractions ==

2013-11-05T11:41:39Z

← Older revision		Revision as of 14:41, 5 November 2013
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	For the various definitions of subtraction of over [[intuitionistic fuzzy sets]], the functions sg and {{overline\|sg}} have been used:		For the various definitions of subtraction of over [[intuitionistic fuzzy sets]], the functions sg and {{overline\|sg}} have been used:

	{\|		<math>
	~~\|-valign="middle"~~		\text{sg}(x) = \left \{ \begin{array}{c c} 1 & \text{if } x > 0 \\
	~~\| rowspan="2" \|~~ sg(x) = ~~<span style="font-size:350%;">~~{~~</span>~~		0 & \text{if } x \leq 0
	\| 1 \|\| if x > 0		\end{array},</math>   <math>
	\|-		\overline{\text{sg}}(x) = \left \{ \begin{array}{c c} 1 & \text{if } x < 0 \\
	\| 0 \|\| if x ≤ 0		0 & \text{if } x \geq 0
	\|}		\end{array}.</math>

	{\|
	~~\|-valign="middle"~~
	~~\| rowspan="2" \|~~ {{~~overline\|~~sg}}(x) = ~~<span style="font-size:350%;">~~{~~</span>~~
	\| 1 \|\| if x < 0
	\|-
	\| 0 \|\| if x ≥ 0
	\|}

	== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub> type ==		== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub> type ==

2013-11-05T11:15:53Z

List of intuitionistic fuzzy subtractions of —i′ type: fix biginning

← Older revision		Revision as of 14:15, 5 November 2013
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	\| 0 \|\| if x ≥ 0		\| 0 \|\| if x ≥ 0
	\|}		\|}

			== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub> type ==

			=== Alternative separated view ===

	== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub>′ type ==		== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub>′ type ==

2013-11-05T11:14:52Z

← Older revision		Revision as of 14:14, 5 November 2013
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	For the various definitions of subtraction of over [[intuitionistic fuzzy sets]], the functions sg and {{~~ovreline~~\|sg}} have been used:		For the various definitions of subtraction of over [[intuitionistic fuzzy sets]], the functions sg and {{overline\|sg}} have been used:

	{\|		{\|

2013-11-05T11:14:36Z

← Older revision		Revision as of 14:14, 5 November 2013
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			For the various definitions of subtraction of over [[intuitionistic fuzzy sets]], the functions sg and {{ovreline\|sg}} have been used:

	{\|		{\|
	\|-valign="middle"		\|-valign="middle"

2013-11-05T10:48:07Z

List of intuitionistic fuzzy subtractions of —i′ type

← Older revision		Revision as of 13:48, 5 November 2013
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	~~== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub>′ type ==~~

	{\|		{\|
	\|-valign="middle"		\|-valign="middle"
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	\| 0 \|\| if x ≥ 0		\| 0 \|\| if x ≥ 0
	\|}		\|}

			== List of intuitionistic fuzzy subtractions of —<sub><i>i</i></sub>′ type ==

	{\| width="100%" class="wikitable sortable" style="font-family:Courier; font-size:120%;"		{\| width="100%" class="wikitable sortable" style="font-family:Courier; font-size:120%;"

2013-04-16T09:29:06Z

Alternative separated view

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	\|		\|
	\|		\|
	\| ~~<font~~ color=green>min(μ<sub>A</sub>(x), ν<sub>B</sub>(x))~~</font>~~		\| style= "color: green;" \| min(μ<sub>A</sub>(x), ν<sub>B</sub>(x))
	\| ~~<font~~ color=red>max(ν<sub>A</sub>(x), μ<sub>B</sub>(x))~~</font>~~		\| style= "color: red;" \| max(ν<sub>A</sub>(x), μ<sub>B</sub>(x))

	\|- valign="top"		\|- valign="top"

2012-02-28T17:31:15Z

References: +1

← Older revision		Revision as of 20:31, 28 February 2012
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	* [[Issue:Equalities with intuitionistic fuzzy subtractions and negations\|Equalities with intuitionistic fuzzy subtractions and negations]], Krassimir Atanassov, Magdaléna Renčová, Dimitar Dimitrov, 2010		* [[Issue:Equalities with intuitionistic fuzzy subtractions and negations\|Equalities with intuitionistic fuzzy subtractions and negations]], Krassimir Atanassov, Magdaléna Renčová, Dimitar Dimitrov, 2010
	* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction\|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011		* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction\|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011
			* [[Issue:On Zadeh's intuitionistic fuzzy subtraction\|On Zadeh's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011

	== See also ==		== See also ==

2012-01-02T13:22:50Z

References: +1

← Older revision		Revision as of 16:22, 2 January 2012
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	* [[Issue:On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬4\|On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬<sub>4</sub>]], Beloslav Riečan, Magdaléna Renčová, Krassimir Atanassov, 2009		* [[Issue:On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬4\|On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬<sub>4</sub>]], Beloslav Riečan, Magdaléna Renčová, Krassimir Atanassov, 2009
	* [[Issue:Equalities with intuitionistic fuzzy subtractions and negations\|Equalities with intuitionistic fuzzy subtractions and negations]], Krassimir Atanassov, Magdaléna Renčová, Dimitar Dimitrov, 2010		* [[Issue:Equalities with intuitionistic fuzzy subtractions and negations\|Equalities with intuitionistic fuzzy subtractions and negations]], Krassimir Atanassov, Magdaléna Renčová, Dimitar Dimitrov, 2010
			* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction\|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011

	== See also ==		== See also ==