[FOM] Complex-valued logic

[Charlie]

	  Are there any interesting — or even not so interesting — metatheorems about some particular brands of fuzzy logic, fuzzy set theory, or fuzzy anything?  I’m thinking of things like the upper & downward Lowenheim-Skolem theorems, compactness, etc.

	   (Hmm.  Or would they have to be “fuzzy metatheorems”?)

> On Jun 21, 2016, at 1:21 PM, Kreinovich, Vladik <vladik at utep.edu> wrote:
> 
> There is a whole direction led by Dr. Scott Dick, google "complex-valued fuzzy logic" and you will find many links to related papers, there are regular sessions at fuzzy conferences on this topic. You may want to ask such questions to fuzzy mailing lists instead of Foundations of Math one
> From: fom-bounces at cs.nyu.edu <mailto:fom-bounces at cs.nyu.edu> <fom-bounces at cs.nyu.edu <mailto:fom-bounces at cs.nyu.edu>> on behalf of Sandro Skansi <skansi.sandro at gmail.com <mailto:skansi.sandro at gmail.com>>
> Sent: Tuesday, June 21, 2016 2:00 AM
> To: Foundations of Mathematics
> Subject: [FOM] Complex-valued logic
>  
> Dear FOM,
> 
> I am trying to address an engineering problem using fuzzy membership functions, and tried to make an algebra based on two fuzzy dimensions. The resulting system should have a (currently unknown) bounding property between these two fuzzy values, and it ocurred to me it could be perhaps presented using complex-valued membership functions. Does anyone know about some recent papers addressing complex-valued logic?
> 
> Thank you and all the best,
> Sandro
> 
> P.s. I want to thank all the FOMers that read my recent paper for their valuable suggestions--I will try to address all the criticism and keep you posted!
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