In this paper we deal with the problem of extending Zadeh's operators on fuzzy sets (FSs) to interval-valued (IVFSs), set-valued (SVFSs) and type-2 (T2FSs) fuzzy sets. Namely, it is known that seeing FSs as SVFSs, or T2FSs, whose membership degrees are singletons is not order-preserving. We then describe a family of lattice embeddings from FSs to SVFSs. Alternatively, if the former singleton vi...

Systems Security Assessment Using Dual Hesitant Fuzzy Set Dejian Yu,1,∗ José M. Merigó,2,3 Yejun Xu4 1School of Information, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang 310018, People’s Republic of China 2Manchester Business School, University of Manchester, M15 6PB Manchester, UK 3Department of Management Control and Information Systems, School of Economics and Business, U...

Large-scale group decision-making (LS-GDM) problems are common in the daily life of human beings. Both information fusion and computing with words (CWW) technologies LS-GDM suffer from challenges. In current research, a proportional hesitant fuzzy linguistic term set (PHFLTS) will be applied to capture preferences sub-groups LS-GDM, which decreases lost processes. Novel semantic representation ...

In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision maker...

In order to be prepared against potential balance-breaking risks affecting economic development, more and more countries have recognized emergency response solutions evaluation (ERSE) as an indispensable activity in their governance of sustainable development. Traditional multiple criteria group decision making (MCGDM) approaches to ERSE have been facing simultaneous challenging characteristics...