Foundation of Interval‐Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data

Ai, Zhenghai; Shu, Xiaoqin; Zhang, Xu

doi:10.1155/2019/3947261

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…We have realized that every evaluation value may have multiple values; however, the probability of each value is not necessarily equal. As mentioned in the above example, the DM may consider that the emergency levels of low, medium, and high are all possible; besides that, he/she may consider that the occurrence probability of the low level is the highest, and the occurrence probability of the high level is the lowest [20]. Furthermore, he/she may be able to give the probability values for different evaluation values; for example, the probability values are 0.4, 0.35, and 0.25 for the emergency levels of low, medium, and high, respectively.…”

Section: E Hesitant Fuzzy Probabilistic Linguistic Termmentioning

confidence: 99%

[Retracted] Emergency Optimization Decision‐Making with Incomplete Probabilistic Information under the Background of COVID‐19

Wang

Zhu

et al. 2021

Complexity

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At present, the whole world is facing the serious challenge of COVID-19, and it has reached a consensus that taking appropriate measures timely is the key to prevent and control infectious diseases. This paper proposes an algorithm to solve the problem of how to choose the most appropriate alternative from numerous alternatives in the limited time from the perspective of management. First of all, we have compared various data structures for keeping the comparison results of alternatives. After comparisons, we adopt the hesitant fuzzy incomplete probabilistic linguistic preference relation matrix to save the information which can keep the first-hand valuable collected data to the maximum extent; then, we can obtain the missing values with the help of the fault tree analysis method, which can consider both subjective evaluation data and objective historical data simultaneously. Meanwhile, the fault tree analysis method can find development laws with the help of similar infectious diseases that have occurred in the past. The definition of consistency index is also introduced which can measure whether there are contradictions and the degree of contradiction in the decision results. Only those data that meet the consistency requirements can be used for decision-making and then a method is proposed to effectively reduce the degree of inconsistency. The information aggregation method will be adopted subsequently, and we can obtain the ranking of alternatives. An instance with specific execution steps is also introduced to illustrate the feasibility and efficiency of the algorithm proposed in this paper; in the end, several types of comparisons with typical algorithms proposed by other scholars are carried out, and all the experimental results show that the algorithm proposed in this paper is effective and innovative in some aspects.

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Section: E Hesitant Fuzzy Probabilistic Linguistic Termmentioning

confidence: 99%