Issue:(α,β)-cut of intuitionistic fuzzy ideals - Revision history

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

2024-08-28T15:19:55Z

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

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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/16/3\|"Notes on ~~IFS~~", Volume 16 (2010) Number 3]], pages 22—27		\| issue = [[Notes on Intuitionistic Fuzzy Sets/16/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 3]], pages 22—27
	\| file = NIFS-16-3-22-27.pdf		\| file = NIFS-16-3-22-27.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 10:00, 30 May 2016

2016-05-30T10:00:07Z

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	For any Intuitionistic fuzzy set <math>A = {<x, \mu_A(x), \nu_A(x) \| x \in E>}</math> of a set <math>E</math>, we define a <math>(\alpha, \beta)</math>-cut of <math>A</math> as the crisp subset <math>x \in E \| \mu_A(x) \ge \alpha, \nu_A(x) \le \beta}</math> of <math>E</math>. In this paper some interesting properties of <math>(\alpha, \beta)</math>-cut of [[Intuitionistic fuzzy ideal]]s of a ring were discussed.		For any Intuitionistic fuzzy set <math>A = {<x, \mu_A(x), \nu_A(x) \| x \in E>}</math> of a set <math>E</math>, we define a <math>(\alpha, \beta)</math>-cut of <math>A</math> as the crisp subset <math>\{ x \in E \| \mu_A(x) \geq \alpha, \nu_A(x) \leq \beta \}</math> of <math>E</math>. In this paper some interesting properties of <math>(\alpha, \beta)</math>-cut of [[Intuitionistic fuzzy ideal]]s of a ring were discussed.

	\| keywords = [[Intuitionistic fuzzy set]], Intuitionistic fuzzy ideal, (α,β)-cut		\| keywords = [[Intuitionistic fuzzy set]], Intuitionistic fuzzy ideal, (α,β)-cut

Vassia Atanassova at 12:24, 8 January 2011

2011-01-08T12:24:45Z

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	\| file = NIFS-16-3-22-27.pdf		\| file = NIFS-16-3-22-27.pdf
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	\| size = ~~162~~		\| size = 161
	\| abstract =		\| abstract =

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

2011-01-08T12:24:04Z

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

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2010 year|{{PAGENAME}}]]
{{issue/title
| title = (α,β)-cut of intuitionistic fuzzy ideals
| shortcut = nifs/16/3/22-27
}}
{{issue/author
| author = Dhiren Kumar Basnet
| institution = Department of Mathematics, Assam University
| address = Silchar-788011, Assam, India
| email-before-at = dkbasnet
| email-after-at = rediffmail.com
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/16/3|"Notes on IFS", Volume 16 (2010) Number 3]], pages 22—27
| file = NIFS-16-3-22-27.pdf
| format = PDF
| size = 162
| abstract =

For any Intuitionistic fuzzy set <math>A = {<x, \mu_A(x), \nu_A(x) | x \in E>}</math> of a set <math>E</math>, we define a <math>(\alpha, \beta)</math>-cut of <math>A</math> as the crisp subset <math>x \in E | \mu_A(x) \ge \alpha, \nu_A(x) \le \beta}</math> of <math>E</math>. In this paper some interesting properties of <math>(\alpha, \beta)</math>-cut of [[Intuitionistic fuzzy ideal]]s of a ring were discussed.

| keywords = [[Intuitionistic fuzzy set]], Intuitionistic fuzzy ideal, (α,β)-cut
| references =
# [[Krassimir Atanassov|Atanassov, K. T.]], [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], [[Fuzzy sets and systems]], 20 (1986), no. 1, 87–96.
# Banerjee B. and Basnet. D. K., “Intuitionistic Fuzzy Subrings and Ideals”, J. of Fuzzy Mathematics, Vol. 11, No. 1, 2003 , 139 – 155.
# Basnet D. K., “Intuitionistic Fuzzy Ideals”, J. of Fuzzy Mathematics, Vol. 15, No. 4, 2007, 811 – 819.

| citations =
| see-also =
}}