Creator:

Pękala, Barbara ; Grochowalski, Piotr ; Szmidt, Eulalia

Contributor:

Kusy, Maciej - ed. ; Scherer, Rafał - ed. ; Krzyżak, Adam - ed.

Title:

New transitivity of Atanassov`s intuitionistic fuzzy sets in a decision making model

Subtitle:

.

Group publication title:

AMCS, volume 31 (2021)

Subject and Keywords:

optimistic and pessimistic transitivity ; preference relations ; optimistic and pessimistic intuitionistic fuzzy negations

Abstract:

Atanassov`s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect information that we meet in many real-life situations. In this paper, we discuss the new concepts of the transitivity problem of Atanassov`s intuitionistic fuzzy relations in an epistemic aspect. The transitivity property reflects the consistency of a preference relation. Therefore, transitivity is important from the point of view of real problems appearing, e.g., in group decision making in preference procedures. We propose a new type of optimistic and pessimistic transitivity among the alternatives (options) considered and their use in the procedure of ranking the alternatives in a group decision-making problem.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2021

Resource Type:

artykuł

DOI:

10.34768/amcs-2021-0038

Pages:

563-576

Source:

AMCS, volume 31, number 4 (2021) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego