View source for Issue:A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in 1995 year|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
{{issue/title
 | title           = A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
 | shortcut        = nifs/1/1/05-16
}}
{{issue/author
 | author          = Humberto Bustince
 | institution     = Departmento de Matematica en Informatica, Universidad Publica de Navarra
 | address         = 31006, Campus Arrosadia, Pamplona, Spain
 | email-before-at = bustince
 | email-after-at  = si.upna.es
}}
{{issue/author
 | author          = Pedro Burillo
 | institution     = Departmento de Matematica en Informatica, Universidad Publica de Navarra
 | address         = 31006, Campus Arrosadia, Pamplona, Spain
 | email-before-at = bustince
}}
{{issue/data
 | conference      = 
 | issue           =  [[Notes on Intuitionistic Fuzzy Sets/01/1|"Notes on IFS", Volume 1 (1995) Number 1]], pages 5—16
 | file            = NIFS-01-1-05-16.pdf
 | format          = PDF
 | size            = 505 
 | abstract        = 
In this paper we present a theorem that allows us to construct interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets. We also study the way of recovering of intuitionistic fuzzy sets used in the construction of interval-valued intuitionistic fuzzy set from different operators. We analyse the numerical measures of information of the interval-valued intuitionistic fuzzy set constructed in function with the numerical measures of information of the intuitionistic fuzzy sets used in its construction. We review the most important properties of intuitionistic fuzzy sets and of interval-valued intuitionistic fuzzy sets and we analyse three operators among these sets with their properties.
 | keywords        = [[Fuzzy set]], [[Intuitionistic fuzzy set]], Interval-valued intuitionistic fuzzy set, [[Intuitionistic entropy]], Interval-valued intuitionistic entropy, Operators on interval-valued intuitionistic entropy
 | references      = 
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# K. Atanassov, G. Gargov, [[Issue:Interval valued intuitionistic fuzzy sets|Interval valued intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 31 (1989),  343-349
# P. Burillo and H. Bustince, Isoentropic methods for construction of IVFS. CIFT'94: 57-61, Trento, Italy, (1994), 1-3
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# P. Burillo and H. Bustince, Informational Energy on Intuitionistic Fuzzy  Sets and on Interval-valued Fuzzy Sets. Relationship between Measures of Information, FUBEST'94, 46-50, Sofia, Bulgaria, Sept. (1994), 28-30
# P. Burillo and H. Bustince, Two operators on interval-valued intuitionistic fuzzy sets. Part 1, Comptes Rendus de'l Academie Bulgare des Sciences, vol. 47, no. 12, 1994
# H. Bustince, Conjunctos Intuicionisticas c Intervalo valorados Difusos: Propiedades y Construccion. Relaciones Intuicionisticas Fuzzy. Thesis Universidad Publica de Navarra, (1994).
# H. Bustince, Numerical information measurements in interval-valued fuzzy sets. FUBEST'94. 50-53 Sofia, Bulgaria, Sept. (1994), 28-30.
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# L. A. Zadeh., Fuzzy Sets, Inform.  and Control, 8 (1965), 338-353
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 | see-also        = 
}}