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AIMS Mathematics

2023, Volume 8, Issue 12: 29085-29115. doi: 10.3934/math.20231490
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The Bijective N-soft set decision system

  • Department of Mathematics, Andalas University, Kampus UNAND Limau Manis, Padang, Indonesia
  • Received: 15 December 2022 Revised: 13 October 2023 Accepted: 18 October 2023 Published: 26 October 2023

  • MSC : 03E72, 94D05

  • The characteristics of many decision-making problems in an N-soft set environment are that the parameters consist of condition and decision parameters of which each alternative is only related to one parameter, and the union of partition by parameter sets is a universe. We propose a new method called a Bijective N-soft set for handling such problems. The Bijective N-soft set is a particular case of an N-soft set. The complement of the Bijective N-soft set, the restricted AND operation on Bijective N-soft sets and the dependence between two Bijective N-soft sets are discussed. Then, the properties associated with existing operations are further examined in this paper; among other things, the complement and AND operations satisfy the closed properties. Furthermore, related to the decision system, the reduction of the Bijective N-soft set is also proposed, and an algorithm to group condition parameters that influence the decision parameter as an application in the decision-making process whose cases can be represented as a Bijective N-soft set is also given in this paper.

    Citation: Admi Nazra, Yola Sartika Sari, Yanita. The Bijective N-soft set decision system[J]. AIMS Mathematics, 2023, 8(12): 29085-29115. doi: 10.3934/math.20231490

    Related Papers:

  • The characteristics of many decision-making problems in an N-soft set environment are that the parameters consist of condition and decision parameters of which each alternative is only related to one parameter, and the union of partition by parameter sets is a universe. We propose a new method called a Bijective N-soft set for handling such problems. The Bijective N-soft set is a particular case of an N-soft set. The complement of the Bijective N-soft set, the restricted AND operation on Bijective N-soft sets and the dependence between two Bijective N-soft sets are discussed. Then, the properties associated with existing operations are further examined in this paper; among other things, the complement and AND operations satisfy the closed properties. Furthermore, related to the decision system, the reduction of the Bijective N-soft set is also proposed, and an algorithm to group condition parameters that influence the decision parameter as an application in the decision-making process whose cases can be represented as a Bijective N-soft set is also given in this paper.


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