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Issue:A set-theoretical operation over intuitionistic fuzzy sets: Difference between revisions

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[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
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{{issue/title
{{issue/title
  | title          = Some properties of intuitionistic fuzzy metric spaces
  | title          = A set-theoretical operation over intuitionistic fuzzy sets
  | shortcut        = nifs/10/1/18-26
  | shortcut        = nifs/12/2/24-25
}}
}}
{{issue/author
{{issue/author
  | author          = Hong Yongfa
  | author          = Beloslav Riečan
  | institution    = College of Electronic Information and Engineering, Tongji University
  | institution    = Faculty of Natural Sciences, Matej Bel University
  | address        = 200092 Shanghai, China
  | address        = Tajovského 40, SK-974 01 Banská Bystrica
  | email-before-at = 0410080012
| institution-2  = Mathematical Institute of Slovak Acad. of Sciences
  | email-after-at  = smail.tongji.edu.cn
| address-2      = Štefánikova 49, SK-81473 Bratislava
  | email-before-at = riecan
  | email-after-at  = fpv.umb.sk
| sec-email-before-at = riecan
| sec-email-after-at = mat.savba.sk
}}
}}
{{issue/author
{{issue/author
  | author          = Jiang Changjun
  | author          = Krassimir Atanassov
  | institution    = College of Information Science and Engineering, Shandong University of Science and Technology
  | institution    = CLBME - Bulgarian Academy of Sciences
  | address        = 266510 Qingdao, China
  | address        = Sofia-1113, P.O.Box 12
| email-before-at = krat
| email-after-at  = bas.bg
}}
}}
{{issue/data
{{issue/data
  | conference      =  
  | conference      =  
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/10/1|"Notes on IFS", Volume 10 (2004) Number 1]], pages 18-26
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/12/2|"Notes on Intuitionistic Fuzzy Sets", Volume 12 (2006) Number 1]], pages 24-25
  | file            = NIFS-10-1-18-26.pdf
  | file            = NIFS-12-2-24-25.pdf
  | format          = PDF
  | format          = PDF
  | size            = 317
  | size            = 56
  | abstract        =  
  | abstract        =  
In this paper we discuss some properties of intuitionistic fuzzy metric spaces, introduced by Jin Han Park in the article titled "Intuitionistic fuzzy metric spaces", we prove  that the topology induced by any (complete) intuitionistic fuzzy metric space is (completely) metrizable and show that every separable intuitionistic fuzzy metric space is compact if and only if it is precompact and complete.
  | keywords        =  
  | keywords        = [[Intuitionistic fuzzy sets]], Intuitionistic fuzzy metric space, Precompact, Metrizable
  | references      =  
  | references      =  
# Schweizer B., Sklar A., Statistical metric spaces, Pacific J Math 1960, 10, 314-34
# K. T. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]], Springer, Heidelberg, 1999.
# Jin Han Park, Intuitionistic fuzzy metric spaces, Chaos, Solutions and Fractals, 2004, 22, 1039-46
# [[Krassimir Atanassov|Atanassov K.]], [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]]. Fuzzy Sets and Systems, 1986, 20, 87-96
# R. Enkelking, General topology, PWN-Polish Sci. Publ. Warsaw, 1977
# V. Gregori, S. Romaguera, Some properties of fuzzy metric spaces. Fuzzy Sets and Systems, 2000, 115, 485-89
# K. T. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications]], Springer Physica-Verlag, Berlin, 1999.
  | citations      =  
  | citations      =  
  | see-also        =  
  | see-also        =  
}}
}}

Latest revision as of 17:15, 28 August 2024

shortcut
http://ifigenia.org/wiki/issue:nifs/12/2/24-25
Title of paper: A set-theoretical operation over intuitionistic fuzzy sets
Author(s):
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
riecan@fpv.umb.sk , riecan@mat.savba.sk
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Sofia-1113, P.O.Box 12
krat@bas.bg
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 12 (2006) Number 1, pages 24-25
Download:  PDF (56  Kb, File info)


References:
  1. K. T. Atanassov, Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
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