The Interval Cognitive Network Process for Multi-Attribute Decision-Making
Aiming at combining the good characteristics of a differential scale in representing human cognition and the favorable properties of interval judgments in expressing decision-makers’ uncertainty, this paper proposes the interval cognitive network process (I-CNP) to extend the primitive cognition net...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-10-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/9/10/238 |
| _version_ | 1797999500152799232 |
|---|---|
| author | Xiuli Qi Chengxiang Yin Kai Cheng Xianglin Liao |
| author_facet | Xiuli Qi Chengxiang Yin Kai Cheng Xianglin Liao |
| author_sort | Xiuli Qi |
| collection | DOAJ |
| description | Aiming at combining the good characteristics of a differential scale in representing human cognition and the favorable properties of interval judgments in expressing decision-makers’ uncertainty, this paper proposes the interval cognitive network process (I-CNP) to extend the primitive cognition network process (P-CNP) to handle interval judgments. The key points of I-CNP include a consistency definition for an interval pairwise opposite matrix (IPOM) and a method to derive interval utilities from an IPOM. This paper defines a feasible region-based consistency definition and a transitivity based consistency definition for an IPOM. Both of the two definitions are equivalent to the consistency definition for a crisp pairwise opposite matrix (POM) when an IPOM is reduced to a POM. Two methods that are able to derive interval utilities from both consistent and inconsistent IPOMs are developed based on the two definitions. Four numerical examples are used to illustrate the proposed methods and to compare I-CNP to interval analytic hierarchy process (IAHP). The results show that I-CNP reflects the decision-makers’ cognition better, and that the suggestions provided by I-CNP are more convincing. I-CNP provides new useful alternative tools for multi-attribute decision-making problems. |
| first_indexed | 2024-04-11T11:05:41Z |
| format | Article |
| id | doaj.art-c4f7251c2c0d4332a47ededcf3b5e742 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T11:05:41Z |
| publishDate | 2017-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c4f7251c2c0d4332a47ededcf3b5e7422022-12-22T04:28:21ZengMDPI AGSymmetry2073-89942017-10-0191023810.3390/sym9100238sym9100238The Interval Cognitive Network Process for Multi-Attribute Decision-MakingXiuli Qi0Chengxiang Yin1Kai Cheng2Xianglin Liao3Department of Simulation and Data Engineering in the College of Command Information System, PLA Army Engineering University, Nanjing 210007, ChinaDepartment of Simulation and Data Engineering in the College of Command Information System, PLA Army Engineering University, Nanjing 210007, ChinaDepartment of Simulation and Data Engineering in the College of Command Information System, PLA Army Engineering University, Nanjing 210007, ChinaDepartment of Simulation and Data Engineering in the College of Command Information System, PLA Army Engineering University, Nanjing 210007, ChinaAiming at combining the good characteristics of a differential scale in representing human cognition and the favorable properties of interval judgments in expressing decision-makers’ uncertainty, this paper proposes the interval cognitive network process (I-CNP) to extend the primitive cognition network process (P-CNP) to handle interval judgments. The key points of I-CNP include a consistency definition for an interval pairwise opposite matrix (IPOM) and a method to derive interval utilities from an IPOM. This paper defines a feasible region-based consistency definition and a transitivity based consistency definition for an IPOM. Both of the two definitions are equivalent to the consistency definition for a crisp pairwise opposite matrix (POM) when an IPOM is reduced to a POM. Two methods that are able to derive interval utilities from both consistent and inconsistent IPOMs are developed based on the two definitions. Four numerical examples are used to illustrate the proposed methods and to compare I-CNP to interval analytic hierarchy process (IAHP). The results show that I-CNP reflects the decision-makers’ cognition better, and that the suggestions provided by I-CNP are more convincing. I-CNP provides new useful alternative tools for multi-attribute decision-making problems.https://www.mdpi.com/2073-8994/9/10/238differential scaleratio scaleinterval cognitive network processprimitive cognitive network processinterval utilitiesinterval weightsmulti-attribute decision making |
| spellingShingle | Xiuli Qi Chengxiang Yin Kai Cheng Xianglin Liao The Interval Cognitive Network Process for Multi-Attribute Decision-Making Symmetry differential scale ratio scale interval cognitive network process primitive cognitive network process interval utilities interval weights multi-attribute decision making |
| title | The Interval Cognitive Network Process for Multi-Attribute Decision-Making |
| title_full | The Interval Cognitive Network Process for Multi-Attribute Decision-Making |
| title_fullStr | The Interval Cognitive Network Process for Multi-Attribute Decision-Making |
| title_full_unstemmed | The Interval Cognitive Network Process for Multi-Attribute Decision-Making |
| title_short | The Interval Cognitive Network Process for Multi-Attribute Decision-Making |
| title_sort | interval cognitive network process for multi attribute decision making |
| topic | differential scale ratio scale interval cognitive network process primitive cognitive network process interval utilities interval weights multi-attribute decision making |
| url | https://www.mdpi.com/2073-8994/9/10/238 |
| work_keys_str_mv | AT xiuliqi theintervalcognitivenetworkprocessformultiattributedecisionmaking AT chengxiangyin theintervalcognitivenetworkprocessformultiattributedecisionmaking AT kaicheng theintervalcognitivenetworkprocessformultiattributedecisionmaking AT xianglinliao theintervalcognitivenetworkprocessformultiattributedecisionmaking AT xiuliqi intervalcognitivenetworkprocessformultiattributedecisionmaking AT chengxiangyin intervalcognitivenetworkprocessformultiattributedecisionmaking AT kaicheng intervalcognitivenetworkprocessformultiattributedecisionmaking AT xianglinliao intervalcognitivenetworkprocessformultiattributedecisionmaking |