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 - https://aotp.fabad-ihe.ac.ir/article_116561.html L1 - https://aotp.fabad-ihe.ac.ir/article_116561_0190b0b2f54e3ac599d4641c0d0f1331.pdf ER -