Comparative Analysis of Parallel Computational Schemes for Solving Time-Consuming Decision-Making Problems

Author(s):  
Victor Gergel ◽  
Evgeny Kozinov
Author(s):  
Konrad RÓŻOWICZ

Aim: In the practice of awarding public contracts, sometimes the behavior of market actors, instead of competing with other entities, are aimed at illegal cooperation, including bid rigging. The above shows that healthy competition is not possible without efficient market control. In public procurement market this control is, primarily, carried out by public procurement entities: the President of the Public Procurement Office (Prezes UZP) and the National Appeal Chamber (KIO), and furthermore by President od the Office of Competition (Prezes UOKiK) and Consumer Protection and the Court od Competition and Consumer Protection. and Consumer Protection (SOKiK). The interesting issue is how the activities of the President of Office of Competition and Consumer Protection targeted  to contend with bid rigging affects on the activities of President of the Public Procurement Office (Prezes UZP) or the National Appeal Chamber (KIO). Design / Research methods: analysis and comparison decisions/ judgment issued by the President of the Public Procurement Office, National Appeal Chamber, the President of  the Office of Competition and Consumer Protection and the Court of Competition and Consumer Protection. Conclusions: The analysis has shown that the existence of specificities in the activities of the decision-making bodies and the judgments examined. However, in keeping with the specificity of the forms and objectives of control, these entities should cooperate, to a greater extent than before. Expanding the scope of cooperation would make it possible to better contend with bid rigging without changing the competition protection model. The introduction of institutionalized instruments for cooperation between the authorities seems to be valuable in terms of system solutions. Value of the article: The main value of the article is the comparison of selectively selected decisions and judgments representative of the problem under consideration and their comparative analysis in order to achieve the research objectives. The article deals with issues relevant to both public procurement practitioners and the state bodies dealing with procurement matters.


2018 ◽  
Vol 38 (3) ◽  
pp. 149-166 ◽  
Author(s):  
F. Todd DeZoort ◽  
Travis P. Holt ◽  
Jonathan D. Stanley

SUMMARY Materiality remains a challenging concept for auditors to implement in practice. The challenges underlying auditor materiality assessments are compounded by the fact that courts, regulation, and professional standards emphasize that materiality should be based on a “reasonable investor” perspective. Despite the investor orientation and ambiguous nature of the “reasonable investor” criterion, the extant literature lacks empirical evidence about investor materiality judgments and decision-making. To address this problem, we model sophisticated and unsophisticated investors' materiality judgments in a policy-capturing study and compare them to experienced auditors charged with assessing materiality from an investor perspective. The results indicate significant differences in materiality judgments, judgment consensus, and cue utilization among the three participant groups. We conclude the paper with discussion of the study's implications, highlighting that the overall results suggest the need for further consideration of ways to help auditors meet standards and expectations in this critical domain.


Author(s):  
Jian Li ◽  
Li-li Niu ◽  
Qiongxia Chen ◽  
Zhong-xing Wang

AbstractHesitant fuzzy preference relations (HFPRs) have been widely applied in multicriteria decision-making (MCDM) for their ability to efficiently express hesitant information. To address the situation where HFPRs are necessary, this paper develops several decision-making models integrating HFPRs with the best worst method (BWM). First, consistency measures from the perspectives of additive/multiplicative consistent hesitant fuzzy best worst preference relations (HFBWPRs) are introduced. Second, several decision-making models are developed in view of the proposed additive/multiplicatively consistent HFBWPRs. The main characteristic of the constructed models is that they consider all the values included in the HFBWPRs and consider the same and different compromise limit constraints. Third, an absolute programming model is developed to obtain the decision-makers’ objective weights utilizing the information of optimal priority weight vectors and provides the calculation of decision-makers’ comprehensive weights. Finally, a framework of the MCDM procedure based on hesitant fuzzy BWM is introduced, and an illustrative example in conjunction with comparative analysis is provided to demonstrate the feasibility and efficiency of the proposed models.


2021 ◽  
pp. 1-23
Author(s):  
Peide Liu ◽  
Tahir Mahmood ◽  
Zeeshan Ali

Complex q-rung orthopair fuzzy set (CQROFS) is a proficient technique to describe awkward and complicated information by the truth and falsity grades with a condition that the sum of the q-powers of the real part and imaginary part is in unit interval. Further, Schweizer–Sklar (SS) operations are more flexible to aggregate the information, and the Muirhead mean (MM) operator can examine the interrelationships among the attributes, and it is more proficient and more generalized than many aggregation operators to cope with awkward and inconsistence information in realistic decision issues. The objectives of this manuscript are to explore the SS operators based on CQROFS and to study their score function, accuracy function, and their relationships. Further, based on these operators, some MM operators based on PFS, called complex q-rung orthopair fuzzy MM (CQROFMM) operator, complex q-rung orthopair fuzzy weighted MM (CQROFWMM) operator, and their special cases are presented. Additionally, the multi-criteria decision making (MCDM) approach is developed by using the explored operators based on CQROFS. Finally, the advantages and comparative analysis are also discussed.


2021 ◽  
pp. 1-21
Author(s):  
Sundas Shahzadi ◽  
Areen Rasool ◽  
Musavarah Sarwar ◽  
Muhammad Akram

Bipolarity plays a key role in different domains such as technology, social networking and biological sciences for illustrating real-world phenomenon using bipolar fuzzy models. In this article, novel concepts of bipolar fuzzy competition hypergraphs are introduced and discuss the application of the proposed model. The main contribution is to illustrate different methods for the construction of bipolar fuzzy competition hypergraphs and their variants. Authors study various new concepts including bipolar fuzzy row hypergraphs, bipolar fuzzy column hypergraphs, bipolar fuzzy k-competition hypergraphs, bipolar fuzzy neighborhood hypergraphs and strong hyperedges. Besides, we develop some relations between bipolar fuzzy k-competition hypergraphs and bipolar fuzzy neighborhood hypergraphs. Moreover, authors design an algorithm to compute the strength of competition among companies in business market. A comparative analysis of the proposed model is discuss with the existing models such bipolar fuzzy competition graphs and fuzzy competition hypergraphs.


Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 166 ◽  
Author(s):  
Feng Feng ◽  
Meiqi Liang ◽  
Hamido Fujita ◽  
Ronald Yager ◽  
Xiaoyan Liu

Intuitionistic fuzzy multiple attribute decision making deals with the issue of ranking alternatives based on the decision information quantified in terms of intuitionistic fuzzy values. Lexicographic orders can serve as efficient and indispensable tools for comparing intuitionistic fuzzy values. This paper introduces a number of lexicographic orders by means of several measures such as the membership, non-membership, score, accuracy and expectation score functions. Some equivalent characterizations and illustrative examples are provided, from which the relationships among these lexicographic orders are ascertained. We also propose three different compatible properties of preorders with respect to the algebraic sum and scalar product operations of intuitionistic fuzzy values, and apply them to the investigation of compatible properties of various lexicographic orders. In addition, a benchmark problem regarding risk investment is further explored to give a comparative analysis of different lexicographic orders and highlight the practical value of the obtained results for solving real-world decision-making problems.


2021 ◽  
pp. 1-13
Author(s):  
Aneeza Imtiaz ◽  
Umer Shuaib ◽  
Abdul Razaq ◽  
Muhammad Gulistan

The study of complex fuzzy sets defined over the meet operator (ξ –CFS) is a useful mathematical tool in which range of degrees is extended from [0, 1] to complex plane with unit disk. These particular complex fuzzy sets plays a significant role in solving various decision making problems as these particular sets are powerful extensions of classical fuzzy sets. In this paper, we define ξ –CFS and propose the notion of complex fuzzy subgroups defined over ξ –CFS (ξ –CFSG) along with their various fundamental algebraic characteristics. We extend the study of this idea by defining the concepts of ξ –complex fuzzy homomorphism and ξ –complex fuzzy isomorphism between any two ξ –complex fuzzy subgroups and establish fundamental theorems of ξ –complex fuzzy morphisms. In addition, we effectively apply the idea of ξ –complex fuzzy homomorphism to refine the corrupted homomorphic image by eliminating its distortions in order to obtain its original form. Moreover, to view the true advantage of ξ –complex fuzzy homomorphism, we present a comparative analysis with the existing knowledge of complex fuzzy homomorphism which enables us to choose this particular approach to solve many decision-making problems.


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