@article { author = {Fahmi, Aliya and Amin, Fazli and Shah, Syed Bilal}, title = {Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making}, journal = {Annals of Optimization Theory and Practice}, volume = {3}, number = {1}, pages = {47-71}, year = {2020}, publisher = {Firouzabad Institute of Higher Education}, issn = {2588-3666}, eissn = {2588-5995}, doi = {10.22121/aotp.2020.240887.1034}, abstract = {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.}, keywords = {Linguistic,neutrosophic set,Geometric operators, MCDM}, url = {https://aotp.fabad-ihe.ac.ir/article_116561.html}, eprint = {https://aotp.fabad-ihe.ac.ir/article_116561_0190b0b2f54e3ac599d4641c0d0f1331.pdf} }