Questions tagged [fuzziness]

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How can implications in Gödel logic be understood as assumptions?

Say we have a (positively) real valued logic, i.e. formulas evaluate to the extended interval $[0,\, \infty]$. Furthermore, we have a Gödel implication $a \rightarrow b$ that evaluates to $\infty$ ...
blk's user avatar
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A dilemma in a lemma regarding Hexagonal Fuzzy approximation of parabolic fuzzy number

I was reading Nayagam & Murugan - Hexagonal fuzzy approximation of fuzzy numbers and its applications in MCDM paper regarding hexagonal fuzzy approximation. In that, the statement of Lemma 3.1 and ...
vidyarthi's user avatar
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Can any one suggest a very basic book for fuzzy graph theory?

Can anyone help with a very basic book on fuzzy graph theory for a beginner to it with good explanations. Any video course online on fuzzy graph theory extensively to help understand please share link....
sriram's user avatar
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2 votes
0 answers
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Existence and uniqueness of fixed point in generalized condition of triangular norm

Definition 1) A Menger space is defined as a triple $\left( S,F,T \right)$ where $S$ is a set , $F$ is a collection of distribution functions and $T$ is a triangular norm function $T:[ 0,1 ]\...
nastaran noorivatan's user avatar
1 vote
1 answer
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Evaluating the centroid from the zero alpha-cut of a fuzzy membership function

Continuous function: If I were to take a zero alpha cut of a Gaussian membership function centered at +2, then I would be approaching zero on the tail ends at +/- infinity. Would I claim the centroid ...
Zak's user avatar
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1 vote
2 answers
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Defining fuzzy properties of crisp graphs

Is there a standard procedure to define fuzzy generalizations of typical graph properties? Consider the concept of a fuzzy clique. Define the cliqueness $c(G)$ of a graph $G$ as the ratio $\text{...
Hans-Peter Stricker's user avatar
-1 votes
1 answer
538 views

Fuzzy topology : references [closed]

Hey. I'm looking for references in fuzzy topology. Does anyone know a good book ?
Dimitri's user avatar
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