Firouzabad Institute of Higher EducationAnnals of Optimization Theory and Practice2588-36663120201029Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making477111656110.22121/aotp.2020.240887.1034ENAliyaFahmiSchool of Mathematics, Management Department, The University of Faisalabad, Faisalabad, PakistanFazliAminDepartment of Mathematics, Hazara University Mansehra, PakistanSyed Bilal HussainShahDepartment of Mathematics, Hazara University Mansehra, PakistanJournal Article20200724The 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.http://aotp.fabad-ihe.ac.ir/article_116561_0190b0b2f54e3ac599d4641c0d0f1331.pdf