Abstract Molodtsov introduced 1999 the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from difficulties have troubled usual theoretical approaches. In this paper we apply notion sets by to ordered semigroups. The notions (trivial, whole) semigroup, subsemigroup, left (right) ideal, and idealistic semigroup are introduced, various related properties investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

The intuitionistic fuzzy set, briefly as; IFS and its extension involving Pythagorean set (PFS) Fermatean (FFS), are all effective tools to express uncertain incomplete cognitive information with membership, nonmembership, hesitancy degrees. FFS introduced by Senapati Yager, carries out imprecise smartly in exercising decision-making than PFS. A generalized form of union intersection on can be formulated from a T-norm T-conorm. Hamacher operations such as product sum, good alternatives sum....

Fermatean fuzzy sets (FFSs) have piqued the interest of researchers in a wide range domains. The striking framework FFS is keen to provide larger preference domain for modeling ambiguous information deploying degrees membership and nonmembership. Furthermore, FFSs prevail over theories intuitionistic Pythagorean owing their broader space, adjustable parameter, flexible structure, influential design. measures, being significant part literature, are crucial beneficial tools that widely applied...

The main purpose of this study is to develop a way solving multiattribute decision-making problems (MADM), where the value an attribute appears as picture hesitant fuzzy number and weight information not entirely known. So acquire vector, we build up model optimization that relies on basic ideal conventional grey relational analysis method, by which can be resolved. We another for uncommon circumstance totally unknown. By model, get definite equation utilized determined weight. relation...

The precise selection of suppliers to fulfill production requirements is a fundamental component all manufacturing and process industries. Due the increasing consumption levels, green supplier (GSS) has been one most important issues for environmental preservation sustainable growth. present work aims develop technique based on Fermatean hesitant fuzzy rough set (FHFRS), robust fusion set, GSS in industry. On basis operational rules FHFRS, list innovative weighted averaging operators...

<abstract><p>Wind energy is one of the most significant renewable sources due to its widespread availability, low environmental impact, and great cost-effectiveness. The effective design ideal wind extraction areas generate electricity critical issues in exploitation energy. appropriate site selection for power plants based on concepts criteria sustainable advancement, resulting a low-cost source, as well cost-effectiveness job creation. aim this article introduce idea q-rung...

Abstract Wind power is often recognized as one of the best clean energy solutions due to its widespread availability, low environmental impact, and great cost-effectiveness. The successful design optimal wind sites create most vital concerns in exploitation farms. site selection determined by rules standards environmentally sustainable development, leading a low, renewable source that cost effective contributes global advancement. major contribution this research comprehensive analysis...

In this paper, we define fuzzy generalized bi-ideals in ordered semigroups and characterize regular left weakly by the properties of their bi-ideals.

Operational properties of cubic sets are first investigated. The notion subsemigroups and left (resp. right) ideals introduced, several Relations between discussed. Characterizations considered, how the images or inverse become ideals, respectively, studied.

In this paper, the concept of ordered fuzzy points semihypergroups is introduced. By using new concept, we define and study left, right two-sided hyperideals an semihypergroup. particular, investigate properties generated by Furthermore, introduce concepts prime, semiprime, weakly prime semiprime semihyper- groups establish relationship between four classes hyperideals. Finally, give some characterizations semisimple in terms Especially, prove that semihypergroup S if only every hyperideal...

The main purpose of this planned manuscript is to establish an algorithm for the solution multiattribute decision-making (MADM) issues, where experts utilizing linguistic variables provide information about attributes in form picture hesitant fuzzy numbers. So, these kinds we develop TOPSIS under environment using variables, which plays a vital role practical applications, notably MADM decision arranged by decision-makers (DMs) Finally, sample example given as application and appropriateness...