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Questions tagged [fuzzy-logic]

Fuzzy logic is a form of many-valued logic that deals with approximate, rather than fixed and exact reasoning.

Fuzzy logic is a form of many-valued logic that deals with approximate, rather than fixed and exact reasoning. Reference: Wikipedia.

Compared to traditional binary logic (where variables may take on true or false values), fuzzy logic variables may have a truth value that ranges in degree between 0 and 1.

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What is the difference between mamdani and sugeno in fuzzy logic?

I realise that the difference lies in the way the defuzzification happens but I don't fully understand it. I've read some papers comparing the outputs from the two models but I'm still not really sure how they are different.
Luke
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Lukasiewicz Logic Tautology

Suppose a statement form $\varphi$ always has value T or U. Show $\varphi$ is a classical tautology.
user6848
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Fine-grained notions of deduction for fuzzy logic

In the presentations of fuzzy logic that I've seen, $A \vdash B$ is understood as meaning that in any interpretation where $A$ is 1, $B$ is also 1. If we are reasoning meta-theoretically about fuzzy logic, we could make much more complicated…
Nick Thomas
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Evaluation of "Not" and "XOR" in Fuzzy logic rules

Consider we have three fuzzy variables A , B and D ,. Also , consider that the fuzzification process has been applied and A has been evaluated to 0.5 and B has been evaluated to 0.1. Now , we know that if A and b linked by " AND " ( if A And B …
AAA
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Set Theory Symbols

I get easily confused when it comes to the symbol based terminology in Set Theory. Could someone please elaborate on what the following expressions mean? It would really help me out. $S_1$ = knowledge of a subject matter $S_2$ = problem solving…
SPI
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Is the fuzzy conjunction function continuous?

As the question states, is the fuzzy conjunction (t-norm) function continuous? This was an exam question, the answer was no, but looking at the conjunctions we studied, this seems to be the case: However, working from the definition of a fuzzy…
VPeric
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Can someone explain definition of operation $\rightarrow$

It turns out that most frequently set of truth values comprises the so-called residue lattice in other words L is a partiar order set, which includes maximum element(1) and minimum(0), where each element pair $a, b \in L$ has greatest lower limit $a…
user2723
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How to solve this fuzzy logic inference problem?

I'm having trouble solving an exercise involving fuzzy logic. It basically says something like that (pardon me if I made some mistake, I'm basing only on my poor memory) John goes to park if it is a beautiful day and it is not too hot, or if it…
tigerjack
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