Fuzzy Logic and Fuzzy Reasoning with Two Fuzzy Membership Functions Based on Belief and Disbelief

EasyChair Preprint 3554, version 1

Abstract

Zadeh[29]  defined fuzzy Sets for  Uncertain  Information  with  single  Fuzzy membership function on   = µ_A(x ), where A is Fuzzy Set and x Є X. In this paper,  the Fuzzy  set  is  defined  by A= {  µ_A^Belief(x), µ_A^Disbelief(x)}  with   the  two  Fuzzy membership functions µ_A^Belief(x), µ_A^Disbelief(x) based on Belief and Disbelief. The Fuzzy Set with two Fuzzy membership functions will give more evidence. Fuzzy Logic and Fuzzy reasoning are studied based on the two Fuzzy membership functions using the Fuzzy Modulations. Fuzzy Certainty Factor is defined with the difference of Belief Fuzzy Membership Function and Disbelief Fuzzy Membership Function to compute the conflict of evidence in Uncertain Information

Keyphrases: Fuzzy Logic, Fuzzy membership functions, fuzzy modulations, fuzzy reasoning

@booklet{EasyChair:3554,
  author    = {Venkata Subba Reddy Poli},
  title     = {Fuzzy Logic and Fuzzy Reasoning with Two Fuzzy Membership Functions Based on Belief and Disbelief},
  howpublished = {EasyChair Preprint 3554},
  year      = {EasyChair, 2020}}