PMID- 35957293
OWN - NLM
STAT- MEDLINE
DCOM- 20220815
LR  - 20220815
IS  - 1424-8220 (Electronic)
IS  - 1424-8220 (Linking)
VI  - 22
IP  - 15
DP  - 2022 Jul 31
TI  - Making Group Decisions within the Framework of a Probabilistic Hesitant Fuzzy 
      Linear Regression Model.
LID - 10.3390/s22155736 [doi]
LID - 5736
AB  - A fuzzy set extension known as the hesitant fuzzy set (HFS) has increased in 
      popularity for decision making in recent years, especially when experts have had 
      trouble evaluating several alternatives by employing a single value for 
      assessment when working in a fuzzy environment. However, it has a significant 
      problem in its uses, i.e., considerable data loss. The probabilistic hesitant 
      fuzzy set (PHFS) has been proposed to improve the HFS. It provides probability 
      values to the HFS and has the ability to retain more information than the HFS. 
      Previously, fuzzy regression models such as the fuzzy linear regression model 
      (FLRM) and hesitant fuzzy linear regression model were used for decision making; 
      however, these models do not provide information about the distribution. To 
      address this issue, we proposed a probabilistic hesitant fuzzy linear regression 
      model (PHFLRM) that incorporates distribution information to account for 
      multi-criteria decision-making (MCDM) problems. The PHFLRM observes the 
      input-output (IPOP) variables as probabilistic hesitant fuzzy elements (PHFEs) 
      and uses a linear programming model (LPM) to estimate the parameters. A case 
      study is used to illustrate the proposed methodology. Additionally, an MCDM 
      technique called the technique for order preference by similarity to ideal 
      solution (TOPSIS) is employed to compare the PHFLRM findings with those obtained 
      using TOPSIS. Lastly, Spearman's rank correlation test assesses the statistical 
      significance of two rankings sets.
FAU - Sultan, Ayesha
AU  - Sultan A
AD  - Department of Statistics, Lahore Campus, COMSATS University Islamabad, Islamabad 
      45550, Pakistan.
FAU - Salabun, Wojciech
AU  - Salabun W
AUID- ORCID: 0000-0001-7076-2519
AD  - Research Team on Intelligent Decision Support Systems, Department of Artificial 
      Intelligence and Applied Mathematics, Faculty of Computer Science and Information 
      Technology, West Pomeranian University of Technology in Szczecin, ul. Zolnierska 
      49, 71-210 Szczecin, Poland.
AD  - National Institute of Telecommunications, Szachowa 1, 04-894 Warsaw, Poland.
FAU - Faizi, Shahzad
AU  - Faizi S
AUID- ORCID: 0000-0002-2045-5323
AD  - Department of Mathematics, Virtual University of Pakistan, Lahore 54000, 
      Pakistan.
FAU - Ismail, Muhammad
AU  - Ismail M
AD  - Department of Statistics, Lahore Campus, COMSATS University Islamabad, Islamabad 
      45550, Pakistan.
FAU - Shekhovtsov, Andrii
AU  - Shekhovtsov A
AUID- ORCID: 0000-0002-0834-2019
AD  - Research Team on Intelligent Decision Support Systems, Department of Artificial 
      Intelligence and Applied Mathematics, Faculty of Computer Science and Information 
      Technology, West Pomeranian University of Technology in Szczecin, ul. Zolnierska 
      49, 71-210 Szczecin, Poland.
LA  - eng
GR  - 2021/41/B/HS4/01296/National Science Center/
PT  - Journal Article
DEP - 20220731
PL  - Switzerland
TA  - Sensors (Basel)
JT  - Sensors (Basel, Switzerland)
JID - 101204366
SB  - IM
MH  - *Decision Making
MH  - *Fuzzy Logic
MH  - Linear Models
MH  - Models, Statistical
PMC - PMC9370986
OTO - NOTNLM
OT  - FLRM
OT  - MCDM
OT  - PHFLRM
OT  - PHFS
OT  - peters model
COIS- The authors declare no conflict of interest.
EDAT- 2022/08/13 06:00
MHDA- 2022/08/16 06:00
PMCR- 2022/07/31
CRDT- 2022/08/12 01:22
PHST- 2022/07/14 00:00 [received]
PHST- 2022/07/26 00:00 [revised]
PHST- 2022/07/27 00:00 [accepted]
PHST- 2022/08/12 01:22 [entrez]
PHST- 2022/08/13 06:00 [pubmed]
PHST- 2022/08/16 06:00 [medline]
PHST- 2022/07/31 00:00 [pmc-release]
AID - s22155736 [pii]
AID - sensors-22-05736 [pii]
AID - 10.3390/s22155736 [doi]
PST - epublish
SO  - Sensors (Basel). 2022 Jul 31;22(15):5736. doi: 10.3390/s22155736.