Title of article :
Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making
Author/Authors :
Fahmi ، Aliya Management Department, Faisalabad - School of Mathematics - University of Faisalabad , Amin ، Fazli Department of Mathematics - Hazara University Mansehra , Hussain ، Shah Syed Bilal Department of Mathematics - Hazara University Mansehra
Abstract :
The paper aims to give some new kinds of operational laws named as neutrality addition and scalar multiplication for the pairs of linguistic intervalvalued intuitionistic neutrosophic fuzzy number. The main idea behind these operations is to include the linguistic intervalvalued intuitionistic neutrosophic fuzzy number of the decisionmaker and score function. We define the linguistic intervalvalued intuitionistic neutrosophic fuzzy number and operational laws. We introduce the three geometric operators including, linguistic intervalvalued intuitionistic neutrosophic fuzzy weighted geometric operator, linguistic intervalvalued intuitionistic neutrosophic fuzzy ordered weighted geometric operator and linguistic intervalvalued intuitionistic neutrosophic fuzzy weighted hybrid geometric operatorl. Finally, a multiattribute group decisionmaking approach based on the proposed operators is presented and investigated with numerous numerical examples.
Keywords :
Linguistic , neutrosophic set , Geometric operators , MCDM
Journal title :
Annals of Optimization Theory and Practice
Journal title :
Annals of Optimization Theory and Practice
