PMID- 33285970
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20240329
IS  - 1099-4300 (Electronic)
IS  - 1099-4300 (Linking)
VI  - 22
IP  - 2
DP  - 2020 Feb 7
TI  - Negation of Pythagorean Fuzzy Number Based on a New Uncertainty Measure Applied 
      in a Service Supplier Selection System.
LID - 10.3390/e22020195 [doi]
LID - 195
AB  - The Pythagorean fuzzy number (PFN) consists of membership and non-membership as 
      an extension of the intuitionistic fuzzy number. PFN has a larger ambiguity, and 
      it has a stronger ability to express uncertainty. In the multi-criteria 
      decision-making (MCDM) problem, it is also very difficult to measure the 
      ambiguity degree of a set of PFN. A new entropy of PFN is proposed based on a 
      technique for order of preference by similarity to ideal solution (Topsis) method 
      of revised relative closeness index in this paper. To verify the new entropy with 
      a good performance in uncertainty measure, a new Pythagorean fuzzy number 
      negation approach is proposed. We develop the PFN negation and find the 
      correlation of the uncertainty measure. Existing methods can only evaluate the 
      ambiguity of a single PFN. The newly proposed method is suitable to 
      systematically evaluate the uncertainty of PFN in Topsis. Nowadays, there are no 
      uniform criteria for measuring service quality. It brings challenges to the 
      future development of airlines. Therefore, grasping the future market trends 
      leads to winning with advanced and high-quality services. Afterward, the 
      applicability in the service supplier selection system with the new entropy is 
      discussed to evaluate the service quality and measure uncertainty. Finally, the 
      new PFN entropy is verified with a good ability in the last MCDM numerical 
      example.
FAU - Mao, Haiyi
AU  - Mao H
AUID- ORCID: 0000-0002-1924-8060
AD  - School of Computer and Information Science, Southwest University, No. 2 Tiansheng 
      Road, BeiBei District, Chongqing 400715, China.
FAU - Cai, Rui
AU  - Cai R
AUID- ORCID: 0000-0002-9955-9036
AD  - Business College, Southwest University, No.160 Xueyuan Road, Rongchang District, 
      Chongqing 402460, China.
LA  - eng
GR  - No. XDJK2019C085250/Fundamental Research Funds for the Central Universities/
GR  - No. cx2018077/Venture and Innovation Support Program for Chongqing Overseas 
      Returnees/
PT  - Journal Article
DEP - 20200207
PL  - Switzerland
TA  - Entropy (Basel)
JT  - Entropy (Basel, Switzerland)
JID - 101243874
PMC - PMC7516624
OTO - NOTNLM
OT  - Pythagorean fuzzy number
OT  - Topsis
OT  - negation
OT  - relative closeness index
OT  - service supplier selection system
OT  - uncertainty measure
COIS- The authors declare no conflict of interest.
EDAT- 2020/12/09 06:00
MHDA- 2020/12/09 06:01
PMCR- 2020/02/07
CRDT- 2020/12/08 01:03
PHST- 2020/01/20 00:00 [received]
PHST- 2020/02/02 00:00 [revised]
PHST- 2020/02/05 00:00 [accepted]
PHST- 2020/12/08 01:03 [entrez]
PHST- 2020/12/09 06:00 [pubmed]
PHST- 2020/12/09 06:01 [medline]
PHST- 2020/02/07 00:00 [pmc-release]
AID - e22020195 [pii]
AID - entropy-22-00195 [pii]
AID - 10.3390/e22020195 [doi]
PST - epublish
SO  - Entropy (Basel). 2020 Feb 7;22(2):195. doi: 10.3390/e22020195.