TY - JOUR
ID - 116561
TI - Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making
JO - Annals of Optimization Theory and Practice
JA - AOTP
LA - en
SN - 2588-3666
AU - Fahmi, Aliya
AU - Amin, Fazli
AU - Shah, Syed Bilal Hussain
AD - School of Mathematics, Management Department, The University of Faisalabad, Faisalabad, Pakistan
AD - Department of Mathematics, Hazara University Mansehra, Pakistan
Y1 - 2020
PY - 2020
VL - 3
IS - 1
SP - 47
EP - 71
KW - Linguistic
KW - neutrosophic set
KW - Geometric operators, MCDM
DO - 10.22121/aotp.2020.240887.1034
N2 - The paper aims to give some new kinds of operational laws named as neutrality addition and scalar multiplication for the pairs of linguistic interval-valued intuitionistic neutrosophic fuzzy number. The main idea behind these operations is to include the linguistic interval-valued intuitionistic neutrosophic fuzzy number of the decision-maker and score function. We define the linguistic interval-valued intuitionistic neutrosophic fuzzy number and operational laws. We introduce the three geometric operators including, linguistic interval-valued intuitionistic neutrosophic fuzzy weighted geometric operator, linguistic interval-valued intuitionistic neutrosophic fuzzy ordered weighted geometric operator and linguistic interval-valued intuitionistic neutrosophic fuzzy weighted hybrid geometric operatorl. Finally, a multiattribute group decision-making approach based on the proposed operators is presented and investigated with numerous numerical examples.
UR - http://aotp.fabad-ihe.ac.ir/article_116561.html
L1 - http://aotp.fabad-ihe.ac.ir/article_116561_0190b0b2f54e3ac599d4641c0d0f1331.pdf
ER -