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Fuzzy number

About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.


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Journal ArticleDOI
TL;DR: Different operators are defined over the interval valued intuitionistic fuzzy sets and their basic properties are studied.

683 citations

Book
01 Mar 1986

679 citations

Journal ArticleDOI
TL;DR: It is proved that many fuzzy relations used for the comparison of fuzzy quantities satisfy some conditions stronger than acyclicity, so a widely applicable formulation to derive a total ranking order from a fuzzy relation is given.

674 citations

BookDOI
01 Jan 1992
TL;DR: Fuzzy Logic with Linguistic Quantifiers in Group Decision Making J.F. Yager and the Representation and Use of Uncertainty and Metaknowledge in Milord.
Abstract: Knowledge Representation in Fuzzy Logic LA Zadeh Expert Systems Using Fuzzy Logic RR Yager Fuzzy Rules in Knowledge-Based Systems D Dubois, H Prade Fuzzy Logic Controllers H Berenji Methods and Applications of Fuzzy Mathematical Programming HJ Zimmermann Fuzzy Set Methods in Computer Vision JM Keller, R Krishnapuram Fuzziness, Image Information and Scene Analysis SK Pal Fuzzy Sets in Natural Language Processing V Novak Fuzzy-Set-Theoretic Applications in Modeling of Man-Machine Interactions W Karwowski, G Salvendy Questionnaires and Fuzziness B Bouchon-Meunier Fuzzy Logic Knowledge Systems and Artificial Neural Networks in Medicine and Biology E Sanchez The Representation and Use of Uncertainty and Metaknowledge in Milord R Lopez de Montaras, C Sierra, J Augusti Fuzzy Logic with Linguistic Quantifiers in Group Decision Making J Kacprzyk, M Fedrizzi, H Nurmi Learning in Uncertain Environments M Botta, A Giordana, L Saitta Evidential Reasoning Under Probabilistic and Fuzzy Uncertainties JF Baldwin Probabilistic Sets-Probabilistic Extension of Fuzzy Sets K Hirota Index

662 citations

Journal Article
TL;DR: An approach for decision making with interval-valued intuitionistic fuzzy information is developed, and a practical example is provided to illustrate the developed approach.
Abstract: Methods for aggregating interval-valued intuitionistic fuzzy information are investigated.Some operational laws of intervalvalued intuitionistic fuzzy numbers are defined.Based on these operational laws,some aggregation operators,including interval-valued intuitionistic fuzzy weighted arithmetic aggregation operator and interval-valued intuitionistic fuzzy weighted geometric aggregation operator,are proposed.The score function and accuracy function of interval-valued intuitionistic fuzzy number are defined,and based on these two functions,a method for ranking interval-valued intuitionistic fuzzy numbers is presented.Finally,an approach for decision making with interval-valued intuitionistic fuzzy information is developed,and a practical example is provided to illustrate the developed approach.

660 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023202
2022446
2021696
2020649
2019653
2018733