DeepAI AI Chat
Log In Sign Up

A Fuzzy-Fuzzy Vault Scheme

by   Khaled Ahmed Nagaty, et al.

In this paper an enhanced fuzzy vault scheme is proposed which we refer to as fuzzy-fuzzy vault scheme. The proposed scheme builds on the classical fuzzy vault by adding the concept of uncertainty and imprecision to the classical scheme. To lock a secret key K in the classical fuzzy vault the locking and unlocking elements are crisp or real elements and consequently the locking and unlocking operations are strict imperative. In the fuzzy-fuzzy vault scheme, Alice locks the secret key K using a set of fuzzy elements that belong to multi-fuzzy set A obtained from a universe public set of fuzzy elements in a multi-fuzzy set F _q and projecting them on polynomial p. The elements in multi-fuzzy sets F _q and A are fuzzy using m membership functions MF_i, i=1,2,...,m. Alice selects a set k of fuzzy elements fuzzy with a specific membership function MF_K from A to lock the vault. To hide the genuine locking points Alice generates a set of fuzzy chaff points that some of them do not lie on polynomial p while the other fuzzy chaff points may lie on polynomial p but fuzzy with different membership functions other than the membership function MF_K used to lock the vault. To unlock the fuzzy-fuzzy vault and retrieve the secret key K , Bob should have a set of unlocking fuzzy elements belonging to multi-fuzzy set B which substantially overlap with A is required. Then Bob selects t'_(TF_ki) fuzzy elements from B which are close to the t_(TF_k) fuzzy elements from A used by Alice to lock the vault. We show that adding uncertainty and imprecision by introducing fuzzy theory will enhance the security threshold of the fuzzy vault.


Fuzzy Mnesors

A fuzzy mnesor space is a semimodule over the positive real numbers. It ...

Discrete Logarithmic Fuzzy Vault Scheme

In this paper a three fuzzy vault schemes which integrated with discrete...

Pseudo Fuzzy Set

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set...

A fuzzy process of individuation

It is shown that an aspect of the process of individuation may be though...

On the estimation of fuzzy poverty indices

We review the fuzzy approach to poverty measurement by comparing poverty...

Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization

Based on the in-depth analysis of the essence and features of vague phen...

A Model-Based Fuzzy Analysis of Questionnaires

In dealing with veracity of data analytics, fuzzy methods are more and m...