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 stron ; 21 cm ; Bibliografia s. 16

Type of object:

Książka/Rozdział

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:

Tekst

Detailed Resource Type:

Raport

Source:

RB-2005-38

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

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