The Symmetric Sugeno Integral

Details The Symmetric Sugeno Integral The Symmetric Sugeno Integral

2008-04-10

arxiv.org/abs/0804.1760v1

Fuzzy Sets and Systems 139 (2003) 473-490

Computer Science

Discrete Mathematics

Scientific paper

We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called \Sipos\ integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal. We begin by defining negative numbers on a linearly ordered set, and we endow this new structure with a suitable algebra, very close to the ring of real numbers. In a second step, we introduce the M\"obius transform on this new structure. Lastly, we define the symmetric Sugeno integral, and show its similarity with the symmetric Choquet integral.

Affiliated with

Also associated with

No associations

Rating

The Symmetric Sugeno Integral does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Symmetric Sugeno Integral, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Symmetric Sugeno Integral will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356423