Fuzzy operator

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FuzzyOp logo@395x282.png

This article is definitively not a tutorial on fuzzy logic. It's simply refers a category of usefull images to help writing wiki articles on fuzzy logic operators. Only, very short comments are thus provided here.

Fuzzyfication[edit]

linear[edit]

non linear[edit]

Monadic Operators[edit]

NOP, NOT[edit]


CONCENTRATE, DILATE[edit]


Something AND it's Contrary[edit]

Zadeh Dyadic Operators[edit]

Lofti A. Zadeh

The standard fuzzy operators are given the name of Prof. Dr. Lofti A. Zadeh

These operators use very few resources and are thus suitable a.o. for embedded intelligent systems.

Dyadic Operators based on a Hyperbolic Paraboloid[edit]

With the increasing power of computers, these operators become usable.

Yager Dyadic Operators[edit]

The images are related to the Yager-2 operators (with exponent = 2).

The operators are given the name of Prof. Dr. Ronald R. Yager

Ternary Operators[edit]

Some applications of these operators may need important computer power.

Ternary Operator applied to fuzzy values[edit]

Ternary Operator applied to fuzzy operations[edit]

M. Meurrens

These operators and similar surfaces are developed by Prof. Marc W.F. Meurrens (User:Marc.M)

Search Oriented[edit]

Such fuzzy operators may be usefull a.o. for fuzzy searches. Mind that such operators may be time comsuming.

Miscellaneous[edit]

The representation of these (generally unused) operators are provided here for the completeness of the Ternary section.

The 10 basic Operations[edit]

NOP [0 1] => [0 1][edit]

NOT [0 1] => [1 0][edit]

[0 0 1 1] AND [0 1 0 1] => [0 0 0 1][edit]

[0 0 1 1] OR [0 1 0 1] => [0 1 1 1][edit]

[0 0 1 1] XOR [0 1 0 1] => [0 1 1 0] (UNEQUAL)[edit]

[0 0 1 1] IMPLIES [0 1 0 1] => [1 1 0 1][edit]

[0 0 1 1] NAND [0 1 0 1] => [1 1 1 0][edit]

[0 0 1 1] NOR [0 1 0 1] => [1 0 0 0][edit]

[0 0 1 1] NXR [0 1 0 1] => [1 0 0 1] (EQUAL)[edit]

[0 0 1 1] NOT_IMPLIES [0 1 0 1] => [0 0 1 0][edit]