On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies

被引:97
作者
Kumar, Tanuj [1 ]
Bajaj, Rakesh Kumar [1 ]
机构
[1] Jaypee Univ Inforrmat Technol, Dept Math, Solon 173234, Himachal Prades, India
关键词
D O I
10.1155/2014/972198
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems, involve the parametrization tools. In order to get their new entropies, some important properties and operations on the complex intuitionistic fuzzy soft sets have also been discussed. On the basis of some well-known distance measures, some new distance measures for the complex intuitionistic fuzzy soft sets have also been obtained. Further, we have established correspondence between the proposed entropies and the distance measures of complex intuitionistic fuzzy soft sets.
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页数:12
相关论文
共 23 条
[1]   Complex Atanassov's Intuitionistic Fuzzy Relation [J].
Alkouri, Abd Ulazeez M. ;
Salleh, Abdul Razak .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[2]   Complex Intuitionistic Fuzzy Sets [J].
Alkouri, Abdulazeez S. ;
Salleh, Abdul Razak .
INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 :464-470
[3]  
Atanassov K., 1999, INTUITIONISTIC FUZZY
[4]   MORE ON INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1989, 33 (01) :37-45
[5]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[6]   Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].
Burillo, P ;
Bustince, H .
FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316
[7]   The parameterization reduction of soft sets and its applications [J].
Chen, DG ;
Tsang, ECC ;
Yeung, DS ;
Wang, XZ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) :757-763
[8]   ANCFIS: A Neurofuzzy Architecture Employing Complex Fuzzy Sets [J].
Chen, Zhifei ;
Aghakhani, Sara ;
Man, James ;
Dick, Scott .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (02) :305-322
[9]   An application of intuitionistic fuzzy sets in medical diagnosis [J].
De, SK ;
Biswas, R ;
Roy, AR .
FUZZY SETS AND SYSTEMS, 2001, 117 (02) :209-213
[10]   Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets [J].
Jiang, Yuncheng ;
Tang, Yong ;
Liu, Hai ;
Chen, Zhenzhou .
INFORMATION SCIENCES, 2013, 240 :95-114