T is my great pleasure to welcome you to the inaugural I issue of the IEEE TRANSACTIONS ON FUZZY SYSTEMS. Many of you are probably quite familiar with the basic ideas underlying fuzzy sets and systems that utilize fuzzy models. However, there will also be readers who are looking at the contents of this issue, wondering what it’s all about. For this latter group, the papers in this first issue m...

in this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

In this article, we introduce a new hybrid model called Dual Hesitant N-Soft Sets (DHNSS). This is clarified and reformulated as combination of dual hesitancy with N-soft sets. We investigate the basic operations DHNSS. Our novel illustrated real life examples. Moreover, propose decision making algorithm to see application model.

Paper aims This paper proposes the combination of quality tool FMEA (Failure Modes Effects and Analysis) with DHFS (Dual Hesitant Fuzzy sets) technique to process judgements hesitation hence conduct prioritization failure modes considering a group decision making problem. Originality There are no studies that combine technique. Research method Firstly, this presents review current literature. T...

The sustainable supplier selection process requires consideration of multi-criteria evaluations. In recent years, to prevent the hesitation of different linguistic expressions by the decision makers, and to help the selection of the best one as the solution of different alternatives, researchers have been using several methods such as hesitant fuzzy linguistic term sets (HFLTS), hesitant fuzzy ...