Relation Between Polling and Likert-Scale Approaches to Eliciting Membership Degrees Clarified by Quantum Computing

Authors

Renata Hax Sander Reiser, Universidade Federal de PelotasFollow
Adriano Maron, Universidade Federal de PelotasFollow
Lidiane Visintin, Universidade Federal de PelotasFollow
Ana Maria Abeijon, Universidade Católica de PelotasFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

1-2013

Comments

Technical Report: UTEP-CS-13-02

Abstract

In fuzzy logic, there are two main approaches to eliciting membership degrees: an approach based on polling experts, and a Likert-scale approach, in which we ask experts to indicate their degree of confidence on a scale -- e.g., on a scale form 0 to 10. Both approaches are reasonable, but they often lead to different membership degrees. In this paper, we analyze the relation between these two approaches, and we show that this relation can be made much clearer if we use models from quantum computing.