An Adjustable Reduction Approach of Interval-valued Intuitionistic Fuzzy Soft Sets for Decision Making

Authors

Hongwu Qin, College of Computer Science & Engineering, Northwest Normal University, 730070, Lanzhou Gansu, PR ChinaFollow
Ahmad ShukriMohd Noor, School of Informatics and Applied Mathematics,Universiti Malaysia Terengganu, Terengganu, MalaysiaFollow
Xiuqin Ma, College of Computer Science & Engineering, Northwest Normal University, 730070, Lanzhou Gansu, PR ChinaFollow
Haruna Chiroma, Department of Information Systems, University of Malaya, 50603 Pantai Valley, Kuala Lumpur, Malaysia \\ Department of Computer Science, Federal college of Education (Technical), Gombe, NigeriaFollow
Tutut Herawan, Department of Information Systems, University of Malaya, 50603 Pantai Valley, Kuala Lumpur, Malaysia\\ Universitas Teknologi Yogyakarta, KampusJombor, Yogyakarta Indonesia \\ AMCS Research Center, Yogyakarta, IndonesiaFollow

Author Country (or Countries)

Indonesia

Abstract

Parameter reduction methods have been adopted by many scientific communities since it provides the basic concept for removing irrelevant features and subset of parameters that provides the same descriptive or decisionability as the entire set of parameters. Several reduction approaches have been proposed for fuzzy-soft set in making decision of datasets with fuzzy-soft values.However, existing fuzzy soft set reduction approaches suffer to handle interval-valued intuitionistic fuzzy soft datasets. To overcome this issue, we introduce an adjustable reduction approach of interval-valued intuitionistic fuzzy soft sets (AR-IIFSS) for decision making. The novelty of APR-IIFSS is that we generalize the existing approaches on reduction of fuzzy soft sets (R-FSS), interval-valued fuzzy soft sets (R-ITFSS), and intuitionistic fuzzy soft sets (R-ICFSS) for decision making. Therefore, this is the first attempt on reduction approach of interval-valued intuitionistic fuzzy soft datasets. We also introduce an adjustable reduction approach of weighted intervalvalued intuitionistic fuzzy soft sets (AR-WIIFSS) and investigate its application for decision making. We make extensive analysis for AR-IIFSS and AR-WIIFSS approaches to show their feasibility in practical applications of decision making.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110407

Recommended Citation

Qin, Hongwu; ShukriMohd Noor, Ahmad; Ma, Xiuqin; Chiroma, Haruna; and Herawan, Tutut (2017) "An Adjustable Reduction Approach of Interval-valued Intuitionistic Fuzzy Soft Sets for Decision Making," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/amis/110407
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/7