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	<title>Issue:Modified ranking of intuitionistic fuzzy numbers - Revision history</title>
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	<updated>2026-05-14T08:54:22Z</updated>
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		<id>https://ifigenia.org/index.php?title=Issue:Modified_ranking_of_intuitionistic_fuzzy_numbers&amp;diff=13002&amp;oldid=prev</id>
		<title>Vassia Atanassova: Text replacement - &quot;&quot;Notes on IFS&quot;, Volume&quot; to &quot;&quot;Notes on Intuitionistic Fuzzy Sets&quot;, Volume&quot;</title>
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		<updated>2024-08-28T16:00:36Z</updated>

		<summary type="html">&lt;p&gt;Text replacement - &amp;quot;&amp;quot;Notes on IFS&amp;quot;, Volume&amp;quot; to &amp;quot;&amp;quot;Notes on Intuitionistic Fuzzy Sets&amp;quot;, Volume&amp;quot;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:00, 28 August 2024&lt;/td&gt;
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		<author><name>Vassia Atanassova</name></author>
	</entry>
	<entry>
		<id>https://ifigenia.org/index.php?title=Issue:Modified_ranking_of_intuitionistic_fuzzy_numbers&amp;diff=5450&amp;oldid=prev</id>
		<title>Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title...</title>
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		<updated>2011-05-01T13:00:45Z</updated>

		<summary type="html">&lt;p&gt;New page: &lt;a href=&quot;/wiki/Category:Publications_on_intuitionistic_fuzzy_sets&quot; title=&quot;Category:Publications on intuitionistic fuzzy sets&quot;&gt;{{PAGENAME}}&lt;/a&gt; &lt;a href=&quot;/wiki/Category:Publications_in_Notes_on_IFS&quot; title=&quot;Category:Publications in Notes on IFS&quot;&gt;{{PAGENAME}}&lt;/a&gt; &lt;a href=&quot;/wiki/Category:Publications_in_2011_year&quot; title=&quot;Category:Publications in 2011 year&quot;&gt;{{PAGENAME}}&lt;/a&gt; {{issue/title...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]&lt;br /&gt;
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]&lt;br /&gt;
[[Category:Publications in 2011 year|{{PAGENAME}}]]&lt;br /&gt;
{{issue/title&lt;br /&gt;
 | title           = Modified ranking of intuitionistic fuzzy numbers&lt;br /&gt;
 | shortcut        = nifs/17/1/5-22&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = V. Lakshmana Gomathi Nayagam&lt;br /&gt;
 | institution     = Department of Mathematics, National Institute of Technology&lt;br /&gt;
 | address         = Thiruchirappalli, Tamil Nadu, India&lt;br /&gt;
 | email-before-at = venkateshwari.gandhi&lt;br /&gt;
 | email-after-at  = gmail.com&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Venkateshwari G.&lt;br /&gt;
 | institution     = Department of Mathematics, Sacs MAVMM Engineering College&lt;br /&gt;
 | address         = Madurai, Tamil Nadu, India&lt;br /&gt;
 | email-before-at = &lt;br /&gt;
 | email-after-at  = &lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Geetha Sivaraman&lt;br /&gt;
 | institution     = Department of Mathematics, Periyar Maniammai University&lt;br /&gt;
 | address         = Thanjavur, Tamil Nadu, India&lt;br /&gt;
 | email-before-at = &lt;br /&gt;
 | email-after-at  = &lt;br /&gt;
}}&lt;br /&gt;
{{issue/data&lt;br /&gt;
 | conference      = &lt;br /&gt;
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/17/1|&amp;quot;Notes on IFS&amp;quot;, Volume 17 (2010) Number 1]], pages 5—22&lt;br /&gt;
 | file            = NIFS-17-1-05-22.pdf&lt;br /&gt;
 | format          = PDF&lt;br /&gt;
 | size            = 240&lt;br /&gt;
 | abstract        = &lt;br /&gt;
The notion of fuzzy subsets was introduced by Zadeh [19] and it was generalised to [[intuitionistic fuzzy subsets]] by Atanassov [1]. After the invention of intuitionistic fuzzy subsets, many real life problems are studied accurately. The ranking of intuitionistic number plays a main role in modeling many real life problems involving intuitionistic fuzzy decision making, intuitionistic fuzzy clustering. In this paper, a new method of [[intuitionistic fuzzy]] scoring to intuitionistic fuzzy number has been introduced and studied. The significance of the proposed intuitionistic fuzzy scoring method has been discussed. The aim of this paper is to introduce a new technique for clustering based on intuitionistic fuzzy number. The proposed scoring method has been applied to clustering problem where the data collected is in terms of intuitionistic fuzzy linguistic term which is converted into intuitionistic fuzzy number. The [[intuitionistic fuzzy number]] is converted to intuitionistic fuzzy scoring using the defined scoring method. A distance measure has been applied to intuitionistic fuzzy score and the similarity measure can be calculated with the help of obtained distance measure. Now we find that the association matrix is tolerance relation. By using the algorithm, the tolerance relation is converted to fuzzy equivalence relation. By fixing alpha cut, the data are clustered in to different groups. The new intuitionistic fuzzy scoring method has wide application in various fields.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 | keywords        = &lt;br /&gt;
 | references      = &lt;br /&gt;
# K. Atanassov, “[[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]],” [[Fuzzy Sets and Systems]], vol. 20, pp. 87-96, 1986. &lt;br /&gt;
# C. G. E. Boender, J. G. de Graan and F. A. Lootsma, “Multi-criteria decision analysis with fuzzy pairwise comparisons,” Fuzzy Sets and Systems, vol. 29, pp. 133-143, 1989. &lt;br /&gt;
# J.J.Buckley, “Ranking alternatives using fuzzy numbers,” Fuzzy Sets and Systems, vol. 15, pp. 21-31, 1985. &lt;br /&gt;
# S.J.Chen,  C.L.Hwang,  “Fuzzy  Multiple  Attribute  Decision  Making”, Springer Verlag, Berlin Heildelberg, New York, 1992. &lt;br /&gt;
# Evangelos Triantaphyllou, Stuart H. Mann, “Using the Analytic Hierarchy Process for Decision Making in Engineering Applications: Some Challenges, ” Inter’l Journal of Industrial Engineering: Applications and Practice, vol. 2, No. 1, pp.35-44, 1995. &lt;br /&gt;
# Evangelos Triantaphyllou, Chi-Tun Lin, “Development and Evaluation of five Fuzzy Multi Attributes Decision Making Methods, ” Interna-tional Journal of Approximate Reasoning, vol. 14, pp.281-310, 1996. &lt;br /&gt;
# J. Kacprzyk and S. Zadrozny, “Computing with words in decision making through individual and collective linguistic choice rules, ” International Journal of Uncertainty, Fuzziness and Knowledge Based Systems, vol. 9, pp.89-102, 2001. &lt;br /&gt;
# G.J.Klir and B.Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Appli-cations, Prentice Hall India, New Delhi, 1997. &lt;br /&gt;
# P.J.M. Laarhoven, and W.Pedrycz, “A fuzzy extension of Saaty’s priority theory, ” Fuzzy Sets and Systems, vol. 11, pp.229-241, 1983. &lt;br /&gt;
# H.B.Mitchell, “Ranking intuitionistic fuzzy numbers” International Journal of Uncertainty, Fuzziness and Knowledge Based Systems , vol. 12, No.3 pp.377-386, 2004. &lt;br /&gt;
# T.L.Saaty, The Analytic Hierarchy Process. McGraw-Hill International, New York, 1990. &lt;br /&gt;
# E. Szmidt and [[Janusz Kacprzyk|J. Kacprzyk]], “Entropy for intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 118, no. 3, pp.467-477, 2001. &lt;br /&gt;
# E. Szmidt and J. Kacprzyk, “Intuitionistic fuzzy sets in some medical applications,” In: B. Reusch (Ed.): Computational Intelligence. Theory and Applications. Springer-Verlag, Berlin Heidelberg and New York, pp.148-151, 2001. &lt;br /&gt;
# E. Szmidt and J. Kacprzyk, “[[Issue:Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making|Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making]]” Notes on Intuitionistic Fuzzy Sets, vol. 8, No. 3, pp.11-25, 2002. &lt;br /&gt;
# Tom S.Foster and Gerald Lacava, “The Analytical Hierarchy Process: A Step-by-Step Approach,” http://people.arcada.fi/johan/PU%202006/ahp.ppt &lt;br /&gt;
# Timothy Jr., ‘Fuzzy logic with Engineering applications, Mc-Graw Hill, International Edition.&lt;br /&gt;
# V. Lakshmana Gomathi Nayagam, G. Venkateshwari &amp;amp; G. Sivaraman, “Ranking of intuitionistic fuzzy number”,  Proceedings of IEEE International Conference on Fuzzy Systems, pp.1971–1974, 2008.&lt;br /&gt;
# W. Weiqiong, X. Xiaolong, “Distance measure between intuitionistic fuzzy sets”, Pattern Recognition Letters, vol. 26, pp. 2063 – 2069.&lt;br /&gt;
# L.A.Zadeh, “Fuzzy Sets, ” Information and Control, vol. 8, pp.338-353, 1965.&lt;br /&gt;
# Zeng W. and H. Li, “Relationship between similarity measure and entropy of interval valued fuzzy sets,” Fuzzy Sets and Systems, vol. 157, pp.1477 - 1484, 2006.&lt;br /&gt;
# Zeshui Xu, Jian Chen , Junjie Wu (2008), ‘Clustering algorithm for intuitionistic fuzzy sets’, Information Sciences, Vol. - 178 , pp. 3775 – 3790.&lt;br /&gt;
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		<author><name>Vassia Atanassova</name></author>
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