Multi-attribute decision making using grey relational projection method based on interval type-2 trapezoidal fuzzy numbers

Issue title: Special section: Intelligent data analysis and applications & smart vehicular technology, communications and applications

Guest editors: Valentina Emilia Balas and Lakhmi C. Jain

Article type: Research Article

Authors: Touqeer, Muhammad^{a; *} | Hafeez, Abid^a | Arshad, Misbah^b

Affiliations: [a] Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan | [b] Department of Mathematics, COMSATS University, Sahiwal, Pakistan

Correspondence: [*] Corresponding author. Muhammad Touqeer, University of Engineering and Technology, Taxila, Pakistan. E-mail: [email protected].

Abstract: Here we present a method to deal with multi-attribute decision making(MADM)problems when the attribute values are modeled in the form of interval type-2 trapezoidal fuzzy numbers (IT2FNs), and the attribute weights are completely unknown. Grey Relation Projection Method (GRPM), which is a combination of “grey relational analysis method" and the “projection method" is employed for ranking the alternatives. The linguistic information is modeled in the form of “interval type-2 trapezoidal fuzzy numbers" (IT2TFN) which are able to capture both the intra personal and inter personal uncertainties associated with a linguistic term. Information Entropy Method (IEM) is used for calculating unknown attribute weights. Lastly, an illustrative example is provided as a verification of the developed approach.

Keywords: Multi-attribute decision making (MADM), interval type-2 trapezoidal fuzzy number (IT2TFN), Information Entropy method (IEM), grey relational projection method (GRPM)

DOI: 10.3233/JIFS-179684

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 5, pp. 5979-5986, 2020