The game of numbers so far what we have studied is based on **Boolean** theory introduced by George Boole in his first book “The mathematical Analysis of Logic” in 1847.

The fundamental of Boolean theory is **digital** electronics that deals with completeness/incompleteness ( True / False , Yes / No , 1 / 0 ).

According to Boolean theory , the probability that a statement is correct will be either 100% or 0%.

In terms of master data => let’s say retrieval of a master data entity from Database,

-> The user wants to retrieve a Product “Water Bottle” , if Database contains the product “Water Bottle” , it will return the result else no result.

The graph , The algebra , The algorithms took a new shape when Lotfi Zadeh introduced **Fuzzy** in 1965.

Boolean logic is based on one-valued logic i.e. 0/1 whereas Fuzzy logic is based on many-valued logic that can be any real number between 0 and 1.

It was identified that there are uncertain spaces which are missed with boolean logic ,and there is a way to identify that uncertain space as well using Fuzzy logic.

According to Fuzzy theory , the probability that a statement is correct can be 0 – 100% , the statement can be partially correct as well.

In terms of master data =>

The user does not know the name of a Product he is looking for, but has some rough idea,

So he might search for a Product “Watr Botl”, where the Fuzzy search will return results containing “Water Bottle” depending on the fuzzy threshold*.

SAP provides the power of fuzzy search in SAP HANA and therefore **SAP S/4 HANA** – The next generation ERP suite inherits the power of Fuzzy search.

All SAP S/4 HANA CMD applications are powered with Fuzzy Search where if user wants to search for a Product , he is not expected to search for the exact Product name , instead fuzzy search will help him as assistant to look up for the desired Product.

In Traditional SAP ERP , there is an option to search with Product “*Screw*” which will return all results containing Screw but that is quite different from Fuzzy search.

*Fuzzy threshold –

The amount of approximation / uncertainity desired to handle is defined with fuzzy threshold.