# Fuzzy operator

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.

## Contents

- 1 Fuzzyfication
- 2 Monadic Operators
- 3 Zadeh Dyadic Operators
- 4 Dyadic Operators based on a Hyperbolic Paraboloid
- 5 Yager Dyadic Operators
- 6 Ternary Operators
- 7 The 10 basic Operations
- 7.1 NOP [0 1] => [0 1]
- 7.2 NOT [0 1] => [1 0]
- 7.3 [0 0 1 1] AND [0 1 0 1] => [0 0 0 1]
- 7.4 [0 0 1 1] OR [0 1 0 1] => [0 1 1 1]
- 7.5 [0 0 1 1] XOR [0 1 0 1] => [0 1 1 0] (UNEQUAL)
- 7.6 [0 0 1 1] IMPLIES [0 1 0 1] => [1 1 0 1]
- 7.7 [0 0 1 1] NAND [0 1 0 1] => [1 1 1 0]
- 7.8 [0 0 1 1] NOR [0 1 0 1] => [1 0 0 0]
- 7.9 [0 0 1 1] NXR [0 1 0 1] => [1 0 0 1] (EQUAL)
- 7.10 [0 0 1 1] NOT_IMPLIES [0 1 0 1] => [0 0 1 0]

## Fuzzyfication[edit]

### linear[edit]

### non linear[edit]

## Monadic Operators[edit]

### NOP, NOT[edit]

### CONCENTRATE, DILATE[edit]

### Something AND its Contrary[edit]

## Zadeh Dyadic Operators[edit]

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]

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.