2017•Journal of Intelligent & Fuzzy SystemsRequires access

Two normalized projection models and application to group decision-making

Chuan Yue

Abstract

Projection can measure not only the distance but also the angle between two decision objects. It has become one of important tools for complex decisions. This research finds that the existing projection formulae are unreasonable in real vector and interval vector settings. To solve this problem, this paper develops two new normalized projection measures. And new projection measures are applied to group decision-making with hybrid decision information. The applicability and feasibility are shown by an experimental analysis. The results show that the projection measures improved in this paper are superior to the existing ones.

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Key concepts: Projection (relational algebra), Measure (data warehouse), Projection method, Vector projection, Computer science, Group (periodic table), Group decision-making, Interval (graph theory)