Evaluation model for manufacturing plants with linguistic information in terms of three 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; *} | Shaheen, Kiran^a | Irfan, Rida^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: touqeer.fareed@uettaxila.edu.pk.

Abstract: Here we have employed three trapezoidal fuzzy numbers (TT2FNs) to deal with a multi-criteria decision making (MCDM) problems. The introduced technique takes into consideration the left and right areas of the three types of membership memberships involved in TT2FNs and also considers the risk attitude of decision maker. The presented method is more generalized since we have used TT2FNs, which are more effective in capturing uncertainty than IT2FSs, just like triangular fuzzy numbers has a better representational power than simple interval numbers. We have considered the unknown attribute environment where maximizing deviation method has been employed to evaluate the attribute weights. Moreover, evaluation model for manufacturing plants with linguistic information has been provided as an illustrative example for the justification of the proposed technique.

Keywords: MCDM, IT2 fuzzy set (IT2FS), maximizing deviation, generalized fuzzy number, three trapezoidal fuzzy numbers (TTFNs)

DOI: 10.3233/JIFS-179683

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 5, pp. 5969-5978, 2020