%0 Journal Article %T Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making %J Annals of Optimization Theory and Practice %I Firouzabad Institute of Higher Education %Z 2588-3666 %A Fahmi, Aliya %A Amin, Fazli %A Shah, Syed Bilal Hussain %D 2020 %\ 10/29/2020 %V 3 %N 1 %P 47-71 %! Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making %K Linguistic %K neutrosophic set %K Geometric operators, MCDM %R 10.22121/aotp.2020.240887.1034 %X 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. %U https://aotp.fabad-ihe.ac.ir/article_116561_0190b0b2f54e3ac599d4641c0d0f1331.pdf