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Generalised Atanassov Intuitionistic Fuzzy Sets

Authors:
Ioan Despi
Dumitru Opris
Erkan Yalcin

Keywords: Intuitionistic fuzzy set, Interval-valued fuzzy sets

Abstract:
When Atanssov created Intuitionistic Fuzzy Sets, he imposed the condition that the sum of membership and non-membership values for each point in the universe of discourse should be less than or equal to one. We challenge this constraint and define some new types of Intuitionistic Fuzzy Sets such that, for any point in the universe of discourse, the sum of membership and non-membership values can be greater than one, or their difference can be negative or positive, while one value is greater than the other, or the sum of their squares is less than or equal to one.

Pages: 51 to 56

Copyright: Copyright (c) IARIA, 2013

Publication date: February 24, 2013

Published in: conference

ISSN: 2308-4375

ISBN: 978-1-61208-254-7

Location: Nice, France

Dates: from February 24, 2013 to March 1, 2013