Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA

Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher op...

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Format: Article
Language:zho
Published: EDP Sciences 2020-12-01
Series:Xibei Gongye Daxue Xuebao
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Online Access:https://www.jnwpu.org/articles/jnwpu/full_html/2020/06/jnwpu2020386p1361/jnwpu2020386p1361.html
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collection DOAJ
description Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example.
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spelling doaj.art-50bddd93df5248a2b26340624750fff32023-12-02T15:16:23ZzhoEDP SciencesXibei Gongye Daxue Xuebao1000-27582609-71252020-12-013861361136910.1051/jnwpu/20203861361jnwpu2020386p1361Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORAAiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example.https://www.jnwpu.org/articles/jnwpu/full_html/2020/06/jnwpu2020386p1361/jnwpu2020386p1361.htmlmultiple attribute decision makingprobabilistic hesitant fuzzyhamacher operationmultmoora method
spellingShingle Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
Xibei Gongye Daxue Xuebao
multiple attribute decision making
probabilistic hesitant fuzzy
hamacher operation
multmoora method
title Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
title_full Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
title_fullStr Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
title_full_unstemmed Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
title_short Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA
title_sort decision method of probabilistic hesitant fuzzy information based on hamacher aggregation operators and multimoora
topic multiple attribute decision making
probabilistic hesitant fuzzy
hamacher operation
multmoora method
url https://www.jnwpu.org/articles/jnwpu/full_html/2020/06/jnwpu2020386p1361/jnwpu2020386p1361.html