A new approach of bipolar valued fuzzy set theory applied on semigroups

Author(s):  
Pairote Yiarayong
2018 ◽  
Vol 24 (4) ◽  
pp. 449-467 ◽  
Author(s):  
Adel Alshibani ◽  
Mohammad A. Hassanain

Purpose The purpose of this paper is to introduce a new general approach for estimating the maintenance cost of constructed facilities. The proposed approach consists of four components, including: facility work breakdown structure; historical maintenance cost and cost contingency data of actual completed projects; feedback obtained from the post-occupancy evaluation (POE); and fuzzy set theory (FST) to define the uncertainty associated with the maintenance cost and cost contingency as an alternative approach to simulation. Design/methodology/approach Literature review of the existing methods used for estimating maintenance cost of constructed facilities was conducted to highlight the limitations of the existing methods and models. The paper then introduced a new approach in which the results obtained from POE are integrated with the estimator’s judgment in estimating maintenance cost of constructed facility. As a proof of concept, the developed approach is tested on a private school facility in the city of Khobar, Saudi Arabia. The application of the proposed approach in this case project demonstrates its applicability and features in comparison with the existing practice. Findings The application of the developed approach on a school case project demonstrated that the developed approach can provide a reliable facility maintenance cost estimate, narrow the uncertainties and vagueness associated with the estimated cost, and provide the estimator with the necessary information to conduct risk analysis with less effort, less computations and less complexity comparing with that provided by complex simulation. The results also showed that integrating POE in the estimating process can provide more accurate cost estimate with high level of confidence. Originality/value The paper presents a new approach for estimating facility maintenance cost. The developed approach introduced a new concept that assists maintenance contractors in preparing facility maintenance estimate with improved accuracy while satisfying the facility user’s needs. The proposed approach integrates the estimator’s judgment with POE to model the uncertainties associated with cost using FST as an alternative approach for complex simulation.


Author(s):  
DONG (HAOYUAN) LI ◽  
ANNE LAURENT ◽  
PASCAL PONCELET

Sequential pattern mining is the method that has received much attention in sequence data mining research and applications, however, a drawback is that it does not profit from prior knowledge of domains. In our previous work, we proposed a belief-driven method with fuzzy set theory for discovering the unexpected sequences that contradict existing knowledge of data, including occurrence constraints and semantic contradictions. In this paper, we present a new approach that discovers unexpected sequences with determining semantic contradictions by using concept hierarchies associated with the data. We evaluate the effectiveness of our approach with experiments on Web usage analysis.


2016 ◽  
Vol 25 (2) ◽  
pp. 297-318
Author(s):  
Hidayat Ullah Khan ◽  
Nor Haniza Sarmin ◽  
Asghar Khan ◽  
Faiz Muhammad Khan

AbstractSeveral applied fields dealing with decision-making process may not be successfully modeled by ordinary fuzzy sets. In such a situation, the interval-valued fuzzy set theory is more applicable than the fuzzy set theory. Using a new approach of “quasi-coincident with relation”, which is a central focused idea for several researchers, we introduced the more general form of the notion of (α,β)-fuzzy interior ideal. This new concept is called interval-valued$( \in ,{\rm{ }} \in \; \vee \;{{\rm{q}}_{\tilde k}})$-fuzzy interior ideal of ordered semigroup. As an attempt to investigate the relationships between ordered semigroups and fuzzy ordered semigroups, it is proved that in regular ordered semigroups, the interval-valued$( \in ,{\rm{ }} \in \; \vee \;{{\rm{q}}_{\tilde k}})$-fuzzy ideals and interval-valued$( \in ,{\rm{ }} \in \; \vee \;{{\rm{q}}_{\tilde k}})$-fuzzy interior ideals coincide. It is also shown that the intersection of non-empty class of interval-valued$( \in ,{\rm{ }} \in \; \vee \;{{\rm{q}}_{\tilde k}})$-fuzzy interior ideals of an ordered semigroup is also an interval-valued$( \in ,{\rm{ }} \in \; \vee \;{{\rm{q}}_{\tilde k}})$-fuzzy interior ideal.


2020 ◽  
Vol 265 ◽  
pp. 121779 ◽  
Author(s):  
Luiz Maurício Furtado Maués ◽  
Brisa do Mar Oliveira do Nascimento ◽  
Weisheng Lu ◽  
Fan Xue

2020 ◽  
Vol 38 (4) ◽  
pp. 3971-3979
Author(s):  
Yana Yuan ◽  
Huaqi Chai

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