Cover Image

Applications of Generalized Picture Fuzzy Soft Set in Concept Selection

Muhammad Jabir Khan, Supak Phiangsungnoen, Habib ur Rehman, Wiyada Kumam

Abstract


The incorrect identification of a good concept for a particular product leads to an increase in design modification, which increases the functional cost and generating time, therefore the concept selection is a crucial process in the new product development (NPD). In this paper, we used the generalized picture fuzzy soft set to obtain the optimal design concept. We introduced the b-picture fuzzy soft set $(bPFSS)$ and generalized b-picture fuzzy soft set $(GbPFSS)$ on the basis of the bijective soft set. We introduced the lower-and-substitution and upper-or-substitution operations for $GbPFSS$ and discuss their basic properties. The $GbPFSSs$ are used to illustrate the mapping from customers requirements to design concepts. We proposed an algorithm for choosing best design concept using the upper-or-substitution operations for $GbPFSS$. After we discuss a case study for the design concept of laptops for one and two customers separately.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|