The processing of a sparse matrix is hot topic in the recommendation system. This paper applies method hesitant fuzzy set to study problem. Based on uncertain factors process, this theory characterize historical ratings embedded system and studies data problem under condition set. key transform similarity products into two sets by conversion, processing, complement. further considers influence ...

The hesitant fuzzy soft set (HFSS), as a combination of hesitant fuzzy and soft sets, is regarded as a useful tool for dealing with the uncertainty and ambiguity of real-world problems. In HFSSs, each element is defined in terms of several parameters with arbitrary membership degrees. In addition, distance and similarity measures are considered as the important tools in different areas such as ...

The aim of this paper is to investigate an intuitionistic fuzzy sets based generalized multiple attributes group decision making (GMAGDM) adapting to the situation that the attribute sets considered by a group of experts are not the same and the decision information are provided with intuitionistic fuzzy numbers (IFNs). Firstly, we develop three general procedures to handle different intuitioni...

The objective of this paper is to develop matrix games with pay-offs of triangular hesitant fuzzy elements (THFEs). To solve such games, a new methodology has been derived based on the notion of weighted average operator and score function of THFEs. Firstly, we formulate two non-linear programming problems with THFEs. Then applying the score function of THFEs, we transform these two problems in...

The main goal of this publication is to show that the basic constructions in theories fuzzy sets, soft hesitant sets or intuitionistic have a common background, based on theory monads categories. It proven ad hoc defined concepts individual theories, such as power set structures these relations approximation operators by are only special examples applications monad This makes it possible, one h...

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...