Abstract
Paraconsistent soft sets can address issues involving incomplete and inconsistent information simultaneously. In this paper, paraconsistent soft sets are furtherly extended to dynamic paraconsistent soft sets by introducing time factors. We define some basic operations, such as dynamic paraconsistent soft subsets, complement, “AND”, restricted intersection, relaxed intersection, restricted cross and relaxed cross. Subsequently, we also propose the definitions of dynamic paraconsistent soft decision system, compound time choice value, compound time decision value, compound time weighting vector and final decision value. Additionally, we construct a decision making algorithm for dynamic paraconsistent soft sets, which can address issues involving both dynamic incomplete and inconsistent information. Furthermore, we apply the proposed algorithm to a practical loan problem for small and micro enterprises. Finally, we perform a sensitivity analysis and a comparative analysis to prove the effectiveness and feasibility of the proposed algorithm.
Highlights
Many complex issues in social science, economics, medical science and engineering involve uncertainties
We propose the definition of dynamic paraconsistent soft sets, as a more general perspective than paraconsistent soft sets, to describe issues changing with time and involving both incomplete and inconsistent information
This study introduces the concepts of dynamic paraconsistent soft decision system, compound time choice value, compound time decision value, compound time weighting vector and final decision value
Summary
Many complex issues in social science, economics, medical science and engineering involve uncertainties. Y. Dong et al.: Incomplete and Inconsistent Information Analysis Method Considering Time Factors: Dynamic Paraconsistent Soft Sets. Qin and Ma [25] proposed an incomplete information analysis method based on intervalvalued fuzzy soft sets. Four-valued structure effectively extends the parameter expression ability, and enables paraconsistent soft sets to address complex issues involving both incomplete and inconsistent information. The defect limits the modeling of some issues involving dynamic incomplete and inconsistent information. We propose the definition of dynamic paraconsistent soft sets, as a more general perspective than paraconsistent soft sets, to describe issues changing with time and involving both incomplete and inconsistent information. VOLUME 8, 2020 introduces the concept of dynamic paraconsistent soft set and defines the basic operations.
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