Tytuł:

Similarity measures for intuitionistic fuzzy set theory and mass assignment theory

Inny tytuł:

Raport Badawczy = Research Report ; RB/38/2005

Twórca:

Szmidt, Eulalia : Autor ; Baldwin, Jim : Autor

Wydawca:

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

Miejsce wydania:

Warszawa

Data wydania/powstania:

2005

Opis:

18 pages ; 21 cm ; Bibliography p. 16

Typ obiektu:

Book/Chapter

Temat i słowa kluczowe:

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

Abstrakt:

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.

Czasopismo/Seria/cykl:

Raport Badawczy = Research Report

Typ zasobu:

Text

Szczegółowy typ zasobu:

Report

Źródło:

RB-2005-38

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

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: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

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.

Dostęp:

Open