Questions tagged [fuzzy-logic]
Fuzzy logic is a form of many-valued logic that deals with approximate, rather than fixed and exact reasoning.
141 questions
1 vote
0 answers
52 views
About Fuzzy Logic [closed]
I am reading fuzzy logic and completed basics like fuzzy sets , fuzzy arithmetic , operations and other things. I want to study advanced topics like Interval type 2 Fuzzy sets, ordered fuzzy numbers ...
1 vote
0 answers
53 views
Complexity of the clause fragment of Łukasiewicz logic
People who know the semantics of Łukasiewicz logic may skip to the ‘the question proper’ part of the description. A reminder on the semantics of Ł Variables are evaluated over $[0,1]$; there are ...
0 votes
1 answer
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Learn Mamdani-type Fuzzy-Inference-System model
I have a problem understanding how learning Mamdani-type FIS works. The introduction to FIS on the MatLab Youtube channel states, that FIS (they show Mamdani-typed) both work with or without machine ...
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-1 votes
1 answer
76 views
Difference between Probability and Possibility in Fuzzy Logic
I'm trying to learn non-classical logic variants. Came across the notion pvq = min(V(p), V(q)) where p and ...
2 votes
0 answers
53 views
Asking Help for Continuity on Fuzzy Topological Space and its Proof Verification
I am reading the paper Fuzzy Topological Spaces and Fuzzy Compactness by Robert Lowen. Lowen didn't wrote down his proof about proposition 3.1 since he thought it is trivial. But I would like to ask ...
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2 votes
0 answers
80 views
Asking help for a proof verification in the paper "Fuzzy Topological Spaces and Fuzzy Compactness" by R-Lowen
I am reading the paper Fuzzy Topological Spaces and Fuzzy Compactness by Robert Lowen. I have proved the theorem 2.2: $(X,\delta)$ is topologically generated if and only if for each continuous ...
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0 votes
1 answer
128 views
Fuzzy Logic: Łukasiewicz "and" Implication definition
I am stuck on understanding the definition of the Łukasiewicz $t$-norm for implication. I only see the definition on the Internet and in textbooks and papers, but do not understand the motivation for ...
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2 votes
1 answer
84 views
Is it possible to deduce $\vdash \psi$ from $\{\varphi\}\vdash \psi$ and $\{\neg \varphi\}\vdash \psi$ in fuzzy logic?
Assume we are in Basic Logic introduced in here (fuzzy logic), and we have $\{\varphi\}\vdash \psi$, and $\{\neg \varphi\}\vdash \psi$. Can we conclude that we have $\vdash \psi$? Or do we have to ...
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1 vote
1 answer
130 views
Is there exists a fixed valued formula in infinite value logic?
EDIT: We have three kinds of famouse fuzzy logic name: Godel, Luaksiewicz and product logic (see 1). We can define infinite valuation semantics for each of them in $[0,1]$, i. e. we can define a ...
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0 votes
1 answer
72 views
Can we conclude provibility from semantically equavalency?
Let $\varphi$ be formula that $\varphi \equiv \perp$, i. e. for all valuaition $V$ we have $V(\varphi) = \varphi(\perp) = 0$. Can we conclude that $\vdash \varphi \leftrightarrow \perp$? Does it ...
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1 vote
0 answers
48 views
ANFIS Model, tips about improving performance [closed]
I have a question regarding about improving the performance of an ANFIS (adaptive neuro Fuzzy inference system) model. In MATLAB, I have been training a model with 5 inputs, with 816 data point for ...
0 votes
0 answers
67 views
Fuzzy logic application
I have to establish the probability that a patient has covid, based on three factors: -number of symptoms -number of close contacts with positive people -number of contacts NOT close with positive ...
1 vote
1 answer
273 views
Interpretation of "If A, then B" as "A coupled with B": Context and Applicability
It is known that the meaning of a conditional statement in fuzzy logic can vary depending on the interpretation and context. In certain fuzzy logic books, I have come across the interpretation that &...
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1 vote
1 answer
333 views
Equality of fuzzy sets
Is there a definition for "equality of fuzzy sets" ? My current thinking : Say we have two fuzzy sets $A = \{(x,\mu_{A}(x)):x \in X\}$ and $B = \{(y,\mu_{B}(y)):y \in Y\}$ When we consider ...
- 783
3 votes
0 answers
114 views
something like an integral but for fuzzy logic OR rather than summation
I'm not well-versed in analysis. I want to OR together an infinite number of fuzzy truths of infinitesimal significance. I mean the following: I have an arbitrary function $t(v)$ with a range on $[0,...
