Uncertainty measures of interval-valued intuitionistic fuzzy soft sets and their applications in decision making

Article type: Research Article

Authors: Feng, Qinrong^* | Guo, Xiao

Affiliations: School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China

Correspondence: [*] Corresponding author: Qinrong Feng, School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China. E-mail:[email protected]

Abstract: Soft set theory offers a general mathematical tool for dealing with uncertainty. An interval-valued intuitionistic fuzzy soft set is a combination of interval-valued intuitionistic fuzzy set and soft set. The chief aim of this paper is to investigate the decision making based on interval-valued intuitionistic fuzzy soft sets. By means of the uncertainty measures of interval-valued intuitionistic fuzzy soft sets, we develop a novel approach to solve the problems of decision making and give an example to illustrate the developed approach, which demonstrates that our proposed method is more flexible and effective. Furthermore, we present an adjustable approach to weighted interval-valued intuitionistic fuzzy soft sets based decision making problems by using distance measures.

Keywords: Interval-valued intuitionistic fuzzy soft set, distance measure, similarity measure, inclusion measure, decision making

DOI: 10.3233/IDA-150331

Journal: Intelligent Data Analysis, vol. 21, no. 1, pp. 77-95, 2017