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Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, new soft model, called the generalised multi-fuzzy bipolar soft model is proposed, and an algorithm based on this notion is presented. Some basic properties of this concept are studied and the related results are investigated. Finally, an application based on generalised multi-fuzzy soft sets in decision making is analyzed. [ABSTRACT FROM AUTHOR] more...

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with vagueness and uncertainties. It is worth noting that the decision making theory has been proven a more effective tool in the real-world problems under imprecise environments. In this paper, we introduce a new fuzzy soft model, called the multi-fuzzy bipolar soft set model. Some operations of this notion are first investigated and some of the related properties are studied. Finally, an algorithm based on multi-fuzzy bipolar soft set is presented and an illustrative example is given to analyze the application of the proposed algorithm. [ABSTRACT FROM AUTHOR] more...

Soft set theory has been evolved as a completely new mathematical tool for modeling vague concepts. Yong Yang et.al propounded the theory of Multi-fuzzy soft set and its application to decision making. In this paper, we instigated the concept of Modular and Distributive in lattice ordered multi-fuzzy soft set () and also obtain relevant results. [ABSTRACT FROM AUTHOR] more...

The selection of antivirus masks is an important problem in the context of the ongoing COVID-19 pandemic. Multiple attribute decision-making (MADM) algorithmic approaches can be used to evaluate and compare different masks based on multiple criteria, such as effectiveness, comfort, and cost. An aggregation of interval-valued multi-fuzzy hypersoft sets provides a flexible framework for handling uncertainty and imprecision in the MADM process. This approach allows for the integration of multiple sources of information such as expert opinions and empirical data, and considers the different levels of uncertainty and ambiguity associated with each criterion. By using the matrix-manipulated aggregation of interval-valued multi-fuzzy hypersoft sets like the induced fuzzy matrix, α -level matrix, threshold matrix, and mid-threshold matrix, an algorithm is proposed for the optimal selection of material for manufacturing antivirus masks. The robustness of the algorithm is maintained by following simple computation-based stages that enable a wide range of multidisciplinary readers to understand the idea vividly. By using this algorithm, it is possible to improve the accuracy and reliability of the decision-making process and to better balance the trade-offs between the different criteria, i.e., the computed results of the proposed algorithm and the structural aspects of the proposed approach are both compared with some relevant existing structures. Computation-based and structural comparisons are presented to assess the adaptability and reliability of the study. The first one is meant to check reliability, while the second is meant to check flexibility. In both cases, however, the presented approach yields the required standard. By comparing the prospective structure to the relevant developed model, the implications of the proposed framework are explored. [ABSTRACT FROM AUTHOR] more...

Many effective tools in fuzzy soft set theory have been proposed to handle various complicated problems in different fields of our real life, especially in decision making. Molodtsov’s soft set theory has been regarded as a newly emerging mathematical tool to deal with uncertainty and vagueness. Lattice ordered multi-fuzzy soft set (LMFSS) has been applied in forecasting process. However, similarity measure is not used in this application. In our research, similarity measure of LMFSS is proposed to calculate the similarity between two LMFSSs. Moreover, some of its properties are introduced and proved. Finally, an application of LMFSS in decision making using similarity measure is analysed. more...

Many effective tools in fuzzy soft set theory have been proposed to handle various complicated problems in different fields of our real life, especially in decision making. Molodtsov's soft set theory has been regarded as a newly emerging mathematical tool to deal with uncertainty and vagueness. Lattice ordered multi-fuzzy soft set ( L M F S S ) has been applied in forecasting process. However, similarity measure is not used in this application. In our research, similarity measure of L M F S S is proposed to calculate the similarity between two L M F S S s . Moreover, some of its properties are introduced and proved. Finally, an application of L M F S S in decision making using similarity measure is analysed. [ABSTRACT FROM AUTHOR] more...