To formulate fuzzy logic in a boolean top domain environment, I think you would need to use a probabilistic wave form type explanation. Or else just treat fuzzy logic as a conditional multiplier on any boolean truth value. To encapsulate a boolean or strict logic system into fuzzy logic is trivial and evolving. You could start with just adding a percentage based on some complex criteria to any logical tautology or contradiction. By default the truth axis of a fuzzy logic decision or logic tree is going to be knows for some classes of logic systems. When used for making real world decisions in the context of taking action in a decision or vote, the “relevance” value of a fuzzy logic based decision branch would be 0% relevant for a “contradiction logic” and 100% relevant for a “tautology logic”? So in the real world we don’t consider contradictions when we humans use fuzzy logic to decide on a course of action. the default truth and relevance value of any contradiction in Fuzzy logic is zero until voted otherwise or adjusted through some mechanism.
Or maybe this doesn’t make sense? sorry if this post is a little confused and I haven’t thought about these ideas until just now for this discussion. Thanks for your time and let me know if it wasn’t worth your time if it bothered you please. I don’t want to be a bother so just ask and I’ll go away if you prefer. Thx.
It occurs to me as a “Notion” that . . .
To formulate fuzzy logic in a boolean top domain environment, I think you would need to use a probabilistic wave form type explanation. Or else just treat fuzzy logic as a conditional multiplier on any boolean truth value. To encapsulate a boolean or strict logic system into fuzzy logic is trivial and evolving. You could start with just adding a percentage based on some complex criteria to any logical tautology or contradiction. By default the truth axis of a fuzzy logic decision or logic tree is going to be knows for some classes of logic systems. When used for making real world decisions in the context of taking action in a decision or vote, the “relevance” value of a fuzzy logic based decision branch would be 0% relevant for a “contradiction logic” and 100% relevant for a “tautology logic”? So in the real world we don’t consider contradictions when we humans use fuzzy logic to decide on a course of action. the default truth and relevance value of any contradiction in Fuzzy logic is zero until voted otherwise or adjusted through some mechanism.
Or maybe this doesn’t make sense? sorry if this post is a little confused and I haven’t thought about these ideas until just now for this discussion. Thanks for your time and let me know if it wasn’t worth your time if it bothered you please. I don’t want to be a bother so just ask and I’ll go away if you prefer. Thx.