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

Nurnadiah, Zamri and Syibrah, Naim and Lazim, Abdullah and Binyamin, Yusoff (2018) An introduction to Z-numbers with interval type-2 fuzzy TOPSIS. In: Conference: 2nd International Conference on Recent Advances in Nanosciences and Nanotechnology (ICRANN), 19-20 Dec 2016, New Delhi, India.

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Abstract

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).

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