Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment

被引:80
作者
Arora, R. [1 ]
Garg, H. [1 ]
机构
[1] Thapar Inst Engn & Technol Deemed Univ, Sch Math, Patiala 147004, Punjab, India
关键词
MCDM; IFSS; Aggregation operator; Decision-making; OPERATIONS;
D O I
10.24200/sci.2017.4410
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Soft set theory acts as a fundamental tool for handling uncertainty in the data by adding a parameterization factor during the process as compared to fuzzy and intuitionistic fuzzy set theory. In the present manuscript, the work has been done under environment of the Intuitionistic Fuzzy Soft Sets (IFSSs), and some new averaging/geometric prioritized aggregation operators have been proposed whose preferences, related to attributes, are made in the form of IFSSs. Their desirable properties have also been investigated. Furthermore, based on these operators, an approach to investigating the Multi-Criteria Decision Making (MCDM) problem has been presented. The effectiveness of these operators has been demonstrated through a case study. (C) 2018 Sharif University of Technology. All rights reserved.
引用
收藏
页码:466 / 482
页数:17
相关论文
共 43 条
[21]   Distance Measures and Operations in Intuitionistic and Interval-Valued Intuitionistic Fuzzy Soft Set Theory [J].
Khalid, Asma ;
Abbas, Mujahid .
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2015, 17 (03) :490-497
[22]  
Liu Z., 2014, SCI WORLD J, V2014
[23]  
Maji P.K, 2001, J FUZZY MATH, V9, P677
[24]   Soft set theory [J].
Maji, PK ;
Biswas, R ;
Roy, AR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (4-5) :555-562
[25]   SIMILARITY MEASURE OF SOFT SETS [J].
Majumdar, Pinaki ;
Samanta, S. K. .
NEW MATHEMATICS AND NATURAL COMPUTATION, 2008, 4 (01) :1-12
[26]   Generalised fuzzy soft sets [J].
Majumdar, Pinaki ;
Samanta, S. K. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (04) :1425-1432
[27]   Soft set theory - First results [J].
Molodtsov, D .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (4-5) :19-31
[28]  
Mukherjee A., 2014, NEW TRENDS MATH SCI, V2, P159
[29]   Algorithms for interval-valued fuzzy soft sets in stochastic multi-criteria decision making based on regret theory and prospect theory with combined weight [J].
Peng, Xindong ;
Yang, Yong .
APPLIED SOFT COMPUTING, 2017, 54 :415-430
[30]   A fuzzy soft set theoretic approach to decision making problems [J].
Roy, A. R. ;
Maji, P. K. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 203 (02) :412-418