Title:

Similarity measures for intuitionistic fuzzy set theory and mass assignment theory

Subtitle:

Raport Badawczy = Research Report ; RB/38/2005

Creator:

Szmidt, Eulalia : Autor ; Baldwin, Jim : Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2005

Description:

18 pages ; 21 cm ; Bibliography p. 16

Type of object:

Book/Chapter

Subject and Keywords:

Intuicjonistyczne zbiory rozmyte ; Intuitionistic fuzzy set theory ; Mass assignment theory ; Similarity measures ; Miara podobieństwa

Abstract:

We show some similarities/parallels between two of the theories dealing with widely understood (not only as randomness) uncertainty - mass assignment theory and intuitionistic fuzzy set theory. Mass assignment theory is well known tool for dealing with both probabilistic and fuzzy uncertainties. On the other hand intuitionistic fuzzy set theory is an extension of fuzzy set theory which makes it possible to describe imprecise information. Next, we propose new measures of similarity for both theories. The proposed measures take into account not only a pure distance between compared elements but answer the questions if the considered elements/objects are more similar or more dissimilar (the measures take into account and compare two types of distances). It is shown that even if a distance between compared objects is small, it can happen that the objects are completely dissimilar.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2005-38

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open