PMID- 36010745
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20220830
IS  - 1099-4300 (Electronic)
IS  - 1099-4300 (Linking)
VI  - 24
IP  - 8
DP  - 2022 Aug 5
TI  - On Some Extension of Intuitionistic Fuzzy Synthetic Measures for Two Reference 
      Points and Entropy Weights.
LID - 10.3390/e24081081 [doi]
LID - 1081
AB  - In this paper, a novel Double Intuitionistic Fuzzy Synthetic Measure (DIFSM), 
      based on intuitionistic fuzzy values for handling multi-criteria decision-making 
      problems used to rank alternatives, is presented. In the studies, intuitionistic 
      fuzzy sets (IFSs) represented uncertain, imprecise information or human judgment. 
      The intuitionistic fuzzy sets can also reflect the approval, rejection, and 
      hesitation of decision-makers. The degrees of satisfiability and 
      non-satisfiability and uncertainty of each alternative with respect to a set of 
      criteria are described by membership functions, non-membership functions, and 
      hesitancy indexes, respectively. The aggregation algorithm DIFSM is inspired by 
      Hellwig's method based on two reference points: ideal point (pattern) and 
      anti-ideal point (anti-pattern), measuring distances between the alternative and 
      ideal point and distance between the ideal and anti-ideal point. The proposed 
      methods take into consideration the entropy-based weights of criteria. An 
      illustrative example is given to demonstrate the practicality and effectiveness 
      of the proposed approach. Additionally, the comparative analysis results, using 
      the DIFSM and the Intuitionistic Fuzzy TOPSIS-based framework, are presented.
FAU - Roszkowska, Ewa
AU  - Roszkowska E
AUID- ORCID: 0000-0003-2249-7217
AD  - Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 
      15-351 Bialystok, Poland.
FAU - Jefmanski, Bartlomiej
AU  - Jefmanski B
AUID- ORCID: 0000-0002-0335-0036
AD  - Department of Econometrics and Computer Science, Wroclaw University of Economics 
      and Business, 53-345 Wroclaw, Poland.
FAU - Kusterka-Jefmanska, Marta
AU  - Kusterka-Jefmanska M
AUID- ORCID: 0000-0002-6773-6157
AD  - Department of Quality and Environmental Management, Wroclaw University of 
      Economics and Business, 53-345 Wroclaw, Poland.
LA  - eng
PT  - Journal Article
DEP - 20220805
PL  - Switzerland
TA  - Entropy (Basel)
JT  - Entropy (Basel, Switzerland)
JID - 101243874
PMC - PMC9407115
OTO - NOTNLM
OT  - anti-ideal point
OT  - entropy weights
OT  - fuzzy multi-criteria decision making
OT  - fuzzy synthetic measure
OT  - ideal-point
OT  - intuitionistic fuzzy sets
COIS- The authors declare no conflict of interest.
EDAT- 2022/08/27 06:00
MHDA- 2022/08/27 06:01
PMCR- 2022/08/05
CRDT- 2022/08/26 01:13
PHST- 2022/07/13 00:00 [received]
PHST- 2022/08/02 00:00 [revised]
PHST- 2022/08/02 00:00 [accepted]
PHST- 2022/08/26 01:13 [entrez]
PHST- 2022/08/27 06:00 [pubmed]
PHST- 2022/08/27 06:01 [medline]
PHST- 2022/08/05 00:00 [pmc-release]
AID - e24081081 [pii]
AID - entropy-24-01081 [pii]
AID - 10.3390/e24081081 [doi]
PST - epublish
SO  - Entropy (Basel). 2022 Aug 5;24(8):1081. doi: 10.3390/e24081081.