scholarly journals From Interval-Valued Data to General Type-2 Fuzzy Sets

2015 ◽  
Vol 23 (2) ◽  
pp. 248-269 ◽  
Author(s):  
Christian Wagner ◽  
Simon Miller ◽  
Jonathan M. Garibaldi ◽  
Derek T. Anderson ◽  
Timothy C. Havens
Keyword(s):  
Fuzzy Sets ◽  
General Type ◽  
Interval Valued

scholarly journals Constructing General Type-2 fuzzy sets from interval-valued data

2012 ◽  
Author(s):  
Simon Miller ◽  
Christian Wagner ◽  
Jonathan M. Garibaldi ◽  
Susan Appleby
Keyword(s):  
Fuzzy Sets ◽  
General Type ◽  
Interval Valued

On a Relationship Between Fuzzy Measures and AIFS

2016 ◽  
Vol 24 (06) ◽  
pp. 847-858 ◽  
Author(s):  
VicenÇ Torra ◽  
Yasuo Narukawa ◽  
Ronald R. Yager
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Measures ◽  
Intuitionistic Fuzzy ◽  
Atanassov Intuitionistic Fuzzy Sets ◽  
Interval Valued

The literature discusses several extensions of fuzzy sets. AIFS, IVFS, HFS, type-2 fuzzy sets are some of them. Interval valued fuzzy sets is one of the extensions where the membership is not a single value but an interval. Atanassov Intuitionistic fuzzy sets, for short AIFS, are defined in terms of two values for each element: membership and non-membership. In this paper we discuss AIFS and their relationship with fuzzy measures. The discussion permits us to define counter AIFS (cIFS) and discretionary AIFS (dIFS). They are extensions of fuzzy sets that are based on fuzzy measures.

scholarly journals Comments on “Interval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Towards a Wide View on Their Relationship”

2016 ◽  
Vol 24 (1) ◽  
pp. 249-250 ◽  
Author(s):  
Jerry M. Mendel ◽  
Hani Hagras ◽  
Humberto Bustince ◽  
Francisco Herrera
Keyword(s):  
Fuzzy Sets ◽  
Interval Type ◽  
Interval Valued

On type-2 fuzzy relations and interval-valued type-2 fuzzy sets

2014 ◽  
Vol 236 ◽  
pp. 1-32 ◽  
Author(s):  
Bao Qing Hu ◽  
Chun Yong Wang
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Relations ◽  
Interval Valued
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