An introduction to Z-numbers with interval type-2 fuzzy TOPSIS

Decisions are based on ability to decide several possibilities. Decisions are uncertain, imprecise, incomplete and a challenge that is hard to meet. Z-numbers involve more uncertainties than fuzzy sets. They provide us with additional degree of freedom to represent the uncertainty and fuzziness of...

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Bibliographic Details
Main Authors: Nurnadiah, Zamri, Syibrah, Naim, Lazim, Abdullah, Binyamin, Yusoff
Format: Conference or Workshop Item
Language:English
Published: 2018
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Online Access:http://eprints.unisza.edu.my/1592/1/FH03-FIK-18-16968.pdf
http://eprints.unisza.edu.my/1592/
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Summary:Decisions are based on ability to decide several possibilities. Decisions are uncertain, imprecise, incomplete and a challenge that is hard to meet. Z-numbers involve more uncertainties than fuzzy sets. They provide us with additional degree of freedom to represent the uncertainty and fuzziness of the real situations. In this paper, we introduce a Z-numbers with Interval Type-2 Fuzzy TOPSIS (IT2FTOPSIS) to handle uncertainty in decision problems. We provide an example to illustrate the idea of one-by-one steps Z-numbers with IT2FTOPSIS based Fuzzy Multi-Criteria Decision Making (FMCDM). The proposed method provides us with an another useful way to handle FMCDM problems in a more intelligent and flexible manner due to the fact that it uses Z-numbers and interval type-2 fuzzy sets (IT2FSs).